The following listing of papers on statistical and thermal physics are of possible pedagogical interest. The list is not intended to be complete, but might be of some use. If you know of a paper that should be added to the list, please send e-mail to hgould@clarku.edu.

Papers on Thermal and Statistical Physics

Thermodynamics

  1. Michael Abraham and Zeev Olami, "Thermodynamics of rotating quantum systems," Physica A 233, 503-514 (1996).
  2. A. E. Allahverdyan and Th. M. Njeuwenhuizen, "Optimizing the classical heat engine," cond-mat/0005383.
  3. B. Andresen, P. Salamon, and R. S. Berry, "Thermodynamics in finite time", Phys. Today, September 1984.
  4. A. S. Arrott, "The Zilch cycle: An application of the First Law of Thermodynamics," Amer. J. Phys. 45, 672-3 (1977).
  5. Ralph Baierlein, "The meaning of temperature," Physics Teacher 28, 94-96 (February, 1990).
  6. M. Bailyn, "Lambda versus first-order transitions," Amer. J. Phys. 56, 147 (1988).
  7. G. Barnes, "The two cycles of the rotary Curie-point heat engine," Amer. J. Phys. 57, 223 (1989).
  8. A. Ben-Naim, "Is mixing a thermodynamic process?," Amer. J. Phys. 55, 725 (1987).
  9. C. H. Bennett, "Demons, Engines and the Second Law," Sci. Amer. 257, 108 (1987) (Nov. 87).
  10. N. Bloemergen, "The concept of temperature in magnetism," Amer. J. Phys. 41, 325 (1973).
  11. Barry M. Casper and Susan Frerer, "Gibbs paradox" paradox," Amer. J. Phys. 41, 509 (1973).
  12. D. R. Chenoweth and S. Paolucci, "On pressure change occurring during gas mixing," Amer. J. Phys. 57, 463 (1989).
  13. A. Compagner, "Thermodynamics as the continuum limit of statistical mechanics," Amer. J. Phys. 57, 106 (1989).
  14. William H. Cropper, "Carnot's function: origins of the thermodynamic concept of temperature," Amer. J. Phys. 55, 120 (1987).
  15. F. L. Curzon and B. Ahlborn, "Efficiency of a Carnot engine at maximum power output," Amer. J. Phys. 43, 22 (1975).
  16. C. S. Dawm, M. B. Kennel, C. E. A. Finney, and F. T. Connolly, "Observing and modeling nonlinear dynamics in an internal combustion machine," Phys. Rev. E 57, 2811 (1998).
  17. E. W. Dearden, "Expansion formulae for first-order partial derivatives of thermal variables," Eur. J. Phys. 16, 76 (1995).
  18. David H. Frisch, "The microscopic definition of entropy," Amer. J. Phys. 34, 1171 (1966).
  19. J. M. Gordon, "Generalized power versus efficiency characteristics of heat engines: The thermoelectric generator as an instructive illustration," Amer. J. Phys. 59, 551 (1991).
  20. H. W. Graben and John R. Ray, "Fourth adiabatic ensemble," J. Chem. Phys. 93, 4296 (1990).
  21. H. W. Graben and John R. Ray, "Unified treatment of adiabatic ensembles," Phys. Rev. A 43, 4100 (1991).
  22. L. A. Guildner, "The measurement of thermodynamic temperature," Phys. Today, December 1982.
  23. A. Calvo Hernandez et al. "On an irreversible air standard Otto-cycle model," Eur. J. Phys. 16, 73 (1995).
  24. A. Calvo Hernandez, J. M. M. Roco, A. Medina, and S. Velasco, "An irreversible and optimized four stroke cycle model for automotive engines," Eur. J. Phys. 17, 11 (1996).
  25. R. K. Hobbie, "Osmotic Pressure in the Physics Course for Students of the Life Sciences," Amer. J. Phys. 42, 188 (1974).
  26. P. Kariotogloy et al., "Understanding pressure: didactical transpositions and pupils' conceptions," Phys. Educ. 25, 92 (1990).
  27. G. S. Kell, "Heat Engines That Use a Gravitational Field," Amer. J. Phys. 42, 209 (1974).
  28. Martin J. Klein, "Maxwell, his demon, and the second law of thermodynamics," Amer. Sci. 58, 84 (1970).
  29. P. T. Landsberg, "Teaching Thermodynamics," 451 (1985).
  30. Harvey S. Leff, "Available work from a finite source and sink: how effective is a Maxwell demon?," Amer. J. Phys. 55, 701 (1987).
  31. Harvey S. Leff, "Thermal efficiency at maximum work output: new results for old heat engines," Amer. J. Phys. 55, 602 (1987).
  32. Elliot H. Lieb and Jakob Yngvason, "A Fresh Look at Entropy and the Second Law of Thermodynamics," math-ph/0003028.
  33. Elliott H. Lieb and Jakob Yngvason, "A guide to entropy and the second law of thermodynamics," math-ph/9805005.
  34. V. J. Menon and D. C. Agrawal, "First law of thermodynamics from Hamiltonian viewpoint," Eur. J. Phys. 16, 83 (1995).
  35. E. N. Miranda, "When an irreversible cooling (or heating) becomes reversible," European Journal of Physics 21, 239 (2000).
  36. Ye Rengui, "The logical connection between special relativity and thermodynamics," Eur. J. Phys. 17, 265 (1996).
  37. Morton H. Rubin, "Figures of merit for energy conversion processes," Amer. J. Phys. 46, 637 (1978).
  38. S. Rubio et al, "Misconceptions about heat and temperature.
  39. Hans Henrik Rugh, "A geometric, dynamic approach to thermodynamics," chao-dyn/9703013.
  40. J. R. Sanmartin, "A derivation of thermodynamic principles," Eur. J. Phys. 17, 76 (1996).
  41. Bruce Sherwood, "Pseudowork and real work," Amer. J. Phys. 51, 597 (1983).
  42. Bruce Sherwood and W. H. Bernard, "Work and heat transfer in the presence of sliding friction," Amer. J. Phys. 52, 1001 (1984).
  43. R. A. Simon, "Stirling's cycle and the Second law of thermodynamics," Amer. J. Phys. 52, 496 (1984).
  44. Jos Uffink, "Bluff your way in the Second Law of Thermodynamics," cond-mat/0005327.
  45. Y. Zimmels, "Thermodynamics in the presence of electromagnetic fields," Phys. Rev. E 52, 1452 (1995).
  46. Th. M. Nieuwenhuizen, "Thermodynamics of black holes: An analogy with glasses," Phys. Rev. Lett. 81, 2201 (1998).

Probability

  1. E. Fischbein and A. Gazit, "Does the teaching of probability improve probabilistic intuitions?," Educ. Stud. Math 15, 1 (1984).
  2. I. J. Good, "Kinds of Probability. Although there are at least five kinds of probability, we can get along with just one kind," Science 129, 443 (1959).
  3. Anne S. Hawkins and Ramesh Kapadia, "Children's conceptions of probability - a psychological and pedagogical review," Educ. Stud. Math 15, 349 (1984).
  4. Massimo Piattelli-Palmarini, "Probability: neither rational nor capricious," Bostonia, Mar/Apr 1991.
  5. Glenn Shafer, "What is probability? and "The early development of mathematical probability."

General Statistical Mechanics

  1. J. Arnaud, J. M. Boe, L. Chusseau, and F. Philippe, "Illustration of the Fermi-Dirac statistics," Amer. J. Phys. 67, 215-221 (1999).
  2. C. H. Bennett and R. Landauer, "The Fundamental Physical Limits of Computation," Sci. Amer., July 1985.
  3. Alastair Bruce and David Wallace, "Critical point phenomena: universal physics at large length scales," The New Physics, pg. 236, Paul Davies, editor, Cambridge University Press (1989).
  4. Stephen G. Brush, "Gadflies and geniuses in the history of gas theory."
  5. V. Cerny, "Methods of statistical physics and complex mathematical problems," Eur. J. Phys. 9, 94 (1988).
  6. J. Fort, J. A. Gonzalez, J. E. Llebot, and J. Saurina, "Information theory and blackbody radiation," Contem. Phys. 40, 57-70 (1999).
  7. Steven Frautschi, "Entropy in an expanding universe," Science 217, 593 (1982).
  8. R. B. Grifiths, "Phase transitions and critical phenomena."
  9. Sadri Hassani, "Thermodynamics using coins," European Journal of Physics 21, 41 (2000).
  10. R. L. Ingraham, "When can we treat identical particles as distinguishable? An unfamiliar classical limit," Amer. J. Phys. 53, 119 (1985).
  11. E. T. Jaynes, "Gibbs vs Boltzmann entropies," Amer. J. Phys. 33, 391 (1965).
  12. A. Mulero, F. Cuadros, and W. Ahumada, "Teaching statistical mechanics of fluids: Microscopic and macroscopic behavior."
  13. Joel L. Lebowitz, "Time's arrow and Boltzmann's entropy," 5/12/92; "Time's arrow and Boltzmann's entropy," Joel L. Lebowitz, 2/9/93.
  14. Joel L. Lebowitz, "References on statistical physics."
  15. Joel L. Lebowitz, "Microscopic Origins of Irreversible Macroscopic Behavior: An Overview."
  16. Joel L. Lebowitz, "Statistical mechanics: A selective review of two central issues," Revs. Mod. Phys. 71, s346 (1999).
  17. Joel L. Lebowitz, "Cooperative behavior in Simple and Complex Systems" (1999).
  18. George D. J. Phillies, "A novel representation of the dense fluid pressure equation," J. Chem. Phys. 86, 4711 (1987).
  19. George D. J. Phillies, "The polythermal ensemble: a rigorous interpretation of temperature fluctuations in statistical mechanics," Amer. J. Phys. 52, 629 (1984).
  20. George D. J. Phillies, "A second generalized equipartition theorem, J. Chem. Phys. 78, 1620 (1983).
  21. Abner Shimony, "The status of the principle of Maximum Entropy," Synthese 63, 35 (1985).
  22. Arthur V. Tobolsky, "The microcanonical ensemble," Amer. J. Phys. 32, 799 (1994).
  23. "Simple arguments for the Boltzmann factor," Amer. J. Phys. 63, 877 (1995).

Simple Statistical Mechanics Models

  1. M. H. Anderson et al., "Observation of Bose-Einstein condensation in a dilute atomic vapor," Science 269, 198 (1995).
  2. Vishnu M. Bannur, Predhiman K. Kaw, and Jitendra C. Parikh, "Statistical mechanics of quartic oscillators," Phys. Rev. E 55, 2525 (1997).
  3. P. Bialas, L. Bogacz, Z. Burda, and D. Johnston, "Finite size scaling of the balls in boxes model," hep-lat/9910047, Nucl. Phys. B575, 599-612 (2000).
  4. P. Bialas, Z. Burda, and D. Johnston, "Phase diagram of the mean field model of simplicial gravity," gr-qc/9808011, Nucl. Phys. B542, 413-424 (1999).
  5. P. Bialas, Z. Burda, and D. Johnston,"Condensation in the Backgammon model," cond-mat/9609264.
  6. M. A. Cirone, K. Goral, K. Rzazewski, M. Wilkens,"Bose-Einstein condensation of two interacting particles," cond-mat/0006359.
  7. Vanderlei Bagnato and Daniel Kleppner, "Bose-Einstein condensation in low-dimensional traps," Phys. Rev. A 44, 7439 (1991).
  8. Michael E. Fisher, "Magnetism in one-dimensional systems - the Heisenberg model for infinite spin, Amer. J. Phys. 32, 343 (1964).
  9. N. H. Fletcher, "Van der Waals' equation and nucleation theory," Eur. J. Phys. 14, 29 (1993).
  10. Ben C. Freasier, Cliff E. Woodward, and Richard J. Bearman, "Heat capacity extrema on isotherms in one-dimension: Two particles interacting with the truncated Lennard-Jones potential in the canonical ensemble," J. Chem. Phys. 105, 3686 (1996).
  11. G. G. Hall and S. B. Jones, "Information and entropy for a planar box," Amer. J. Phys. 41, 213 (1973).
  12. Douglas Henderson, "Statistical mechanics of a quantum system of hard lines," Amer. J. Phys. xx, 795 (1964).
  13. M. Howard Lee, "Equivalence of ideal gases in two dimensions and Landen's relations," Phys. Rev. E 55, 1518-1520 (1997).
  14. Humphrey J. Maris and Leo P. Kadanoff, "Teaching the renormalization group," Amer. J. Phys. 46, 652 (1978).
  15. Robert M. May, "Quantum statistics of ideal gases in two dimensions," Phys. Rev. 133, A1515 (1964).
  16. J. P. McKelvey and Ef. F. Pulver, "Fermi statistics of two-dimensional free electron systems," Amer. J. Phys. 32, 749 (1964); erratum, Amer. J. Phys. 33, 172 (1965).
  17. R. K. Pathria, "An ideal quantum gas in a finite-sized container," Amer. J. Phys. 66, 1080 (1998).
  18. R. K. Pathria, "Similarities and diferences between Bose and Fermi gases," Phys. Rev. E 57, 2697 (1998).
  19. F. L. Roman, J. A. White, and S. Velasco, "Microcanonical single-particle distributions for an ideal gas in a gravitational field," Eur. J. Phys. 16, 80 (1995).
  20. Robert Weinstock, "Heat capacity of an ideal free electron gas: a rigorous derivation," Amer. J. Phys. 37, 1273 (1969).
  21. V. C. Aguilera-Navarro and G. A. Estevez, "Analytic approximation for the chemical potential of an ideal boson system," Am. J. Phys. 56, 456 (1988).

Random walks and probability

  1. D. Chowdhury and A. Mookerjee, "Random walk and magnetization of spin clusters in spin glasses," Amer. J. Phys. 53, 261 (1985).
  2. Peter Griffin, "Accelerating beyond the third dimension: Returning to the origin in simple random walk," Math. Scientist 15, 224-35 (1990).
  3. Richard Perline, "Zipf's law, the central limit theorem, and the random division of the unit interval," Phys. Rev. E 54, 220 (1996).
  4. E. P. Raposo, S. M. de Oliveira, A. M. Nemirovsky, and M. D. Coutinho-Filho, "Randon walks: A pedestrian approach to polymers, critical phenomena, and field theory," Amer. J. Phys. 59, 633 (1991).
  5. Joseph Rudnick and George Gaspari, "The shapes of random walks," Science 237, 384 (1987).
  6. Charles R. Tolle, Joanne L. Budzien and Randall A. LaViolette, "Do dynamical systems follow Benford's Law?"
  7. Bruce J. West and Michael Shlesinger, "The Noise in Natural Phenomena," Amer. Sci., 78, 40 (1990).

Other

  1. A. Santos, An equation of state a la Carnahan-Starling for a five-dimensional fluid of hard hyperspheres," cond-mat/0003011, submitted to J. Chem. Phys.
  2. J. Sivardiere, "A mechanical model exhibiting a tricritical point," Amer. J. Phys. 54, 172 (1986).
  3. Yuhua Song and E. A. Mason, "Analytical equation of state for molecular fluids: comparison with experimental data," Phys. Rev. A 42, 4749 (1990).
  4. Yuhua Song, E. A. Mason, and Richard M. Stratt, "Why does the Carnahan-Starling equation work so well?," J. Phys. Chem. 93, 6916 (1989).
  5. J. Stephenson, "Hard and soft core equations of state for simple fluids."
  6. S. Velasco, F. L. Roman, and J. A. White, "On a paradox concerning the temperature distribution of an ideal gas in a gravitational field," Eur. J. Phys. 17, 43-44 (1996).
  7. Duane C. Wallace, "Statistical entropy and a qualitative gas-liquid phase diagram," Phys. Rev. A 38, 469 (1988).
  8. J. H. Weiner, "Entropic versus kinetic viewpoints in rubber elasticity," Amer. J. Phys. 55, 746 (1987).
  9. J. Wheatley and A. Cox, "Natural engines," Phys. Today, August 1985.
  10. James D. White, "The role of surface melting in ice skating," Phys. Teacher 30, 495 (1992).
  11. P. Roura, J. Fort, and J. Saurina, "How long does it take to boil an egg? A simple approach to the energy transfer equation," European Journal of Physics 21, 95 (2000).
  12. Yaakov Kraftmakher, "Photovoltaic cell: efficiency of energy conversion," European Journal of Physics 21, 159 (2000).
  13. L. Bellomonte and R. M. Sperandeo-Mineo, "Analysis of the transition from the Einstein crystal model to the Debye model, European Journal of Physics 21, 203 (2000).
  14. P Janik, M. Paluch, L. Tomawski, and J. Ziolo,"RC-model of stretched relaxation," European Journal of Physics 21, 233 (2000).
  15. Maciej Lewenstein, Andrezej Nowak, and Bibb Latane, "Statistical mechanics of social impact," Phys. Rev. E 45, 763 (1992).
  16. Hisashi Ozawa, "Thermodynamics of frost heaving: A thermodynamic proposition for dynamic phenomena," Phys. Rev. E 56, 2811 (1997)
  17. R. U. Ayres and I. Nair, "Thermodynamics and economics," Phys. Today, November 1984.
  18. W. Greiner and H. Stocker, "Hot Nuclear Matter," Sci. Amer. 252, 76 (Jan 1985).
  19. Mambi Hu, Baowen Li, and Hong Zhao, "Heat conduction in one-dimensional chains," Phys. Rev. E 57, 1992 (1998).
  20. Albert Chang and Russell D. Larsen, "Approach to equilibrium: the wasp and the beetle model," J. Chem. Educ 68, 297 (1991).
  21. Kerry A. Emanuel, "Toward a General theory of Hurricanes," Amer. Scientist 76, 371 (1988).
  22. Marianne Wiser and Susan Carey, "When Heat and Temperature Were One," 267 (1983).
  23. Maxwell-Boltzmann distribution.
  24. "Johnson noise" and "Shot noise," MIT lab handout.
  25. "The Ehrenfests' wind-tree model and the hypothesis of molecular chaos," Eur. J. Phys. 12, 27 (1991).
  26. Gregory H. Wannier. Excerpt on the Kac model from Statistical Physics.
  27. A. Georgallas. "The free expansion of an ideal gas into a box"
List updated by Matthew Moelter, California Polytechnic State University, San Luis Obispo, mmoelter@calpoly.edu
21 February 2000.

Research papers

G1

  1. D. Deng, A. S. Argon, and S. Yip, "A molecular dynamics model of melting and glass transition in a two-dimensional material I," Phil. Trans. R. Soc. Lond. A 329, 549-573 (1989).
  2. D. Deng, A. S. Argon, and S. Yip, "Topological features of structural relaxations in a two-dimensional model atomic glass II," Phil. Trans. R. Soc. Lond. A 329, 575-593 (1989).
  3. D. Deng, A. S. Argon, and S. Yip, "Kinetics of structural relaxations in a two-dimensional model atomic glass III," Phil. Trans. R. Soc. Lond. A 329, 595-612 (1989).
  4. Y. Joanna Wong and G. V. Chester, "Monte Carlo study of glassy order in two-dimensional Lennard-Jones systems," Phys. Rev. B 35, 3506-3523 (1987).
  5. T. Gaskell, U. Balucani, and R. Vallauri, "Atomic transport in Liquids," Phys. Chem. Liq. 19, 193-239 (1989).
  6. Raymond D. Mountain, "Simulation studies of supercooled and glass forming liquids," preprint.
  7. D. Thirumalai and Raymond D. Mountain, "Activated dynamics, loss of ergodicity, and transport in supercooled liquids," Phys. Rev. E 47, 479 (1993).
  8. Raymond D. Mountain and D. Thirumalai, "Ergodicity and activated dynamics in supercooled liquids," Phys. Rev. A 45, R3380 (1992).
  9. D. Thirumalai and Raymond D. Mountain, "Ergodic convergence properties of supercooled liquids and glasses," Phys. Rev. A 42, 4574 (1990).
  10. Raymond D. Mountain, "Length scales for fragile glass forming liquids," J. Chem. Phys. 102, 5408 (1995).
  11. Raymond D. Mountain and D. Thirumalai, "Molecular dynamics study of glassy and supercooled states of a binary mixture of soft spheres," Phys. Rev. A 36, 3300-3311 (1987).
  12. Raymond D. Mountain and D. Thirumalai, "Dynamical aspects of anisotropic correlations in supercooled liquids," J. Chem. Phys. 92, 6116-6123 (1990).
  13. Ray D. Mountain and D. Thirumalai, "Measures of effective ergodic convergence in liquids," J. Phys. Chem. 93, 6975 (1989).
  14. T. R. Kirkpatrick and D. Thirumalai, "Random solutions from a regular density functional Hamiltonian: a static and dynamical theory for the structural glass transition," J. Phys. A: Math. Gen. A 22, L149 (1989).
  15. M. J. D. Brakkee and S. W. de Leeuw, "Dynamical properties of supercooled Lennard-Jones liquids: a molecular dynamics study," J. Phys. Condens. Mat. 2, 4991-5003 (1990).
  16. Benjamin W. van de Waal, "Can the Lennard-Jones solid be expected to be fcc?," Phys. Rev. Lett. 67, 3263-3266 (1991).
  17. H. Miyagawa, Y. Hiwatari, B. Bernu, and J. P. Hansen, "Molecular dynamics study of binary soft-sphere mixtures: jump motions atoms in the glassy state," J. Chem. Phys. 88, 3879-3886 (1988).
  18. Michael F. Shlesinger and John T. Bendler, "The stretched exponential, the Vogel law, and all that," Phase Transitions in Soft Condensed Matter, T. Riste and D. Sherrington, eds., Plenum (1989).
  19. John T. Bendler and Michael F. Shlesinger, "Generalized Vogel law for glass-forming liquids," J. Stat. Phys.53, 531-541 (1988).
  20. John T. Bendler, "Levy (stable) probability densities and mechanical relaxation in solid polymers," J. Stat. Phys.36, 625 (1984).
  21. Hisao Takeuchi, "A jump motion of small molecules in glassy polymers: a molecular dynamics simulation," J. Chem. Phys. 93, 2062 (1990).
  22. V. Degiorgio et al., "Stretched-exponential relaxation of electric birefringence in polymers solutions," Phys. Rev. Lett.64, 1043 (1990).
  23. D. Kivelson et al., "A possible molecular structural indicator of the liquid-glass transition," J. Chem. Phys. 95, 1943 (1991). keyword: dipolar interactions.
  24. K. Tsumuraya and M. S. Watanabe, "Local structure and stability in a model glass," J. Chem. Phys. 92, 4983 (1990). keywords: Voronoi, icosahedral cluster.
  25. T. Kondo, K. Tsumuraya, and M. S. Watanabe, "Glass formation in continuous cooling processes: a molecular dynamics study of a monatomic metal system," J. Chem. Phys. 93, 5182-5186 (1990).
  26. M. S. Watanabe and K. Tsumuraya, "Crystallization and glass formation processes in liquid sodium: a molecular dynamics study," J. Chem. Phys. 87, 4891 (1987).
  27. M. S. Watanabe and K. Tsumuraya, "Liquid-glass transition: a molecular dynamics study of the sodium system," J. Chem. Phys. 88, 1991 (1988).
  28. H. Jonsson and H. C. Andersen, "Icosahedral ordering in the Lennard-Jones liquid and glass," Phys. Rev. Lett.60, 2295 (1988).
  29. N. Rivier, "Disclination lines in glasses," Phil. Mag. A 40, 859-868 (1979).
  30. V. N. Ryzhov, "Local structure and bond orientational order in a Lennard-Jones liquid," J. Phys. Condens. Mat. 2, 5855-5865 (1990). agrees with Steinhardt.
  31. U. Balucani and R. Vallauri, "Evolution of bond-angle distribution from liquid to glassy states," Chem. Phys. Lett. 166, 77 (1990).
  32. J. Ullo and S. Yip, "Dynamical correlations in dense metastable fluids," Phys. Rev. A 39, 5877 (1989). Lennard-Jones
  33. J. Ullo and S. Yip, "Dynamical correlations in a binary metastable liquid," Chem. Phys. 149, 221-231 (1990). Lennard-Jones
  34. A. P. Sokolov, "Medium range order in glasses ...," Phys. Rev. Lett.69, 1540 (1992).
  35. N. N. Medvedev, A. Geiger, and W. Brostow "Distinguishing liquids from amorphous solids: percolation analysis on the Voronoi network," J. Chem. Phys. 93, 8337-8342 (1990).

G2

  1. Goran Wahnstrom, "Molecular dynamics study of a supercooled two-component Lennard-Jones system," Phys. Rev. A 44, 3752 (1991).
  2. Laurent J. Lewis and Goran Wahnstrom, "Molecular dynamics study of supercooled ortho-terphenyl," Phys. Rev. E, preprint.
  3. Laurent J. Lewis and Goran Wahnstrom, "Relaxation of a molecular glass at intermediate times," Solid State Comm.86, 295 (1993).
  4. J. Habasaki, I. Okada, and Y. Hiwatari, "Origins of the two-step relaxation and the boson peak in an alkali silicate studied by molecular dynamics simulation," Phys. Rev. E 52, 2681 (1995).
  5. Y. Hiwatari, H. Miyagawa, and T. Odagaki, "Dynamical singularities near the liquid-glass transition: theory and molecular dynamics study," Solid State Ionics47, 179 (1991).
  6. H. Miyagawa and Y. Hiwatari, "Molecular dynamics study of the glass transition in a binary soft-sphere model," Phys. Rev. A 44, 8278 (1991).
  7. T. Odagaki and Y. Hiwatari, "Stochastic model for the glass transition of simple classical liquids," Phys. Rev. A 41, 929-937 (1990).
  8. T. Odagaki and Y. Hiwatari, "Gaussian-to-non-Gaussian transition in supercooled fluids," Phys. Rev. A 43, 1103-1106 (1991).
  9. H. Miyagawa and Y. Hiwatari, "Molecular dynamics study of binary soft-sphere glasses: quench-rate effects and aging effects," Phys. Rev. A 40, 6007 (1989).
  10. T. Odagaki, "Anomalous and subanomalous diffusion in stochastic trapping transport," Phys. Rev. B 38, 9044 (1988).
  11. C. A. Angell, "Perspectives on the glass transition," J. Phys. Chem. Solids 49, 863 (1988).
  12. C. A. Angell, "Formation of glasses from liquids and biopolymers," Science 267, 1924 (1995).
  13. Frank H. Stillinger, "A topographic view of supercooled liquids and glass formation," Science 267, 1935 (1995).
  14. . Frick and D. Richter, "The microscopic basis of the glass transition in polymers from neutron scattering studies," B Science 267, 1939 (1995).
  15. I. M. Hodge, "Physical aging in polymer glasses," Science 267, 1945 (1995).
  16. A. Lindsay Greer, "Metallic glasses," Science 267, 1947 (1995).
  17. D. Bitko, N. Menon, S. R. Nagel, and T. F. Rosenbaum, "High-frequency dynamics and the spin-glass transition," preprint.
  18. Narayanan Menon and Sidney R. Nagel, "Evidence for a divergent susceptibility at the glass transition," Phys. Rev. Lett. 74, 1230 (1995).
  19. Narayanan Menon, Sidney R. Nagel, and David C. Venerus, "Dynamic viscosity of a simple glass forming liquid," Phys. Rev. Lett. 73, 963 (1994).
  20. P. K. Dixon, L. Wu, Sidney R. Nagel, B. D. Williams, and J. P. Carini, "Scaling in the relaxation of supercooled liquids," Phys. Rev. Lett. 65, 1108 (1990).
  21. Ralph V. Chamberlin, "Comment on `Scaling in the relaxation of supercooled liquids,'" Phys. Rev. Lett. 66, 959 (1991). P. K. Dixon, L. Wu, Sidney R. Nagel, B. D. Williams, and J. P. Carini, "Reply," Phys. Rev. Lett. 66, 960 (1990).
  22. R. V. Chamberlin and D. N. Haines, "Percolation model for relaxation in random systems," Phys. Rev. Lett. 65, 2197 (1990).
  23. S. Nagel, "Susceptibility studies of supercooled liquids and glasses," Phase Transitions and Relaxation in Systems with Competing Energy Scales, T. Riste and D. Sherrington, eds., Plenum (1993).
  24. Sidney R. Nagel, "Experimental analysis of disordered systems," in 1990 Lectures in Complex Systems.
  25. Richard M. Ernst, Sidney R. Nagel, and Gary S. Grest, "Search for a correlation length in a simulation of the glass transition," Phys. Rev. B 43, 8070 (1991).
  26. Gary S. Grest and Sidney R. Nagel, "Frequency-dependent specific heat in a simulation of the glass transition," " J. Phys. Chem.91, 4916 (1987).
  27. Gary S. Grest and Sidney R. Nagel, "Glass formation in a simple monatomic liquid with icosahedral local order," M. Dzugutov, Phys. Rev. A 46, R2984 (1992).
  28. C. M. Rowland and K. L. Ngai, J. Chem. "Short time dynamics of fragile-forming liquids," Phys. 103, 1152 (1995).
  29. Cliff Z.-W. Liu and Irwin Oppenheim, "Enhanced diffusion upon approaching the kinetic glass transition," Phys. Rev. E 53, 799 (1996).
  30. J. P. Sethna, "Speculations in the glass transition," Europhys. Lett.6, 529-534 (1988).
  31. Daniel Kivelson et al., "Fitting of viscosity: Distinguishing the temperature dependencies predicted by various models of supercooled liquids," Phys. Rev. E 53, 751 (1996).
  32. Daniel Kivelson, Steven A. Kivelson et al., "A thermodynamic theory of supercooled liquids," Physica A 219, 27-38 (1995).
  33. Steven A. Kivelson et al., "Frustration-limited clusters in liquids," J. Chem. Phys.101, 2391 (1994).
  34. J. C. Dyre, "Master-equation approach to the glass transition," Phys. Rev. Lett.58, 792 (1987).
  35. H-O Carmesin, "Universal properties of supercooled fluids," J. Phys. Condens. Mat.3, 6935 (1991).
  36. Steven A. Brawer, "Microscopic model of anomalous low-frequency excitations in inorganic glasses: molecular dynamics study of BeF2," Phys. Rev. Lett.46, 778 (1981).
  37. Steven Brawer, "The glass transition of BeF2: a Monte Carlo study," J. Chem. Phys.72, 4264 (1980).
  38. Steven A. Brawer and Marvin J. Weber, "Molecular dynamics simulations of the structure of rare-earth-doped beryllium fluoride glasses," J. Chem. Phys.75, 3522 (1981).
  39. S. A. Brawer, "Defects and fluorine diffusion in sodium fluoroberyllate glass: a molecular dynamics study," J. Chem. Phys.75, 3516 (1981).
  40. J. N. Roux, J. L. Barrat, and J.-P. Hansen, "Dynamical diagnostics for the glass transition in soft-sphere alloys," J. Phys. Condens. Mat.1, 7171 (1989).
  41. xx, "Instability of metastable solid solutions and crystal to glass transition," Phys. Rev. Lett.70, 1120 (1993).
  42. D. L. Sidebottom et al., "Observation of scaling behavior in the liquid glass transition ...," Phys. Rev. Lett.68, 3587 (1992).
  43. A. P. Sokolov, W. Steffen, and E. Rossler, "High-temperature dynamics in glass-forming liquids," Phys. Rev. E 52, 5105 (1995).
  44. C. Renner, H. Lowen, and J. L. Barrat, "Orientational glass transition in a rotator model," Phys. Rev. E 52, 5091 (1995).
  45. Biman Bagchi, "A molecular explanation of the transition from viscous to hopping mechanism in the supercooled liquid near the glass transition," J. Chem. Phys.101, 9946 (1994).
  46. Marcus T. Cicerone, F. R. Blackburn, and M. D. Ediger, "How do molecules move near Tg? Molecular rotation of six probes in o-terphenyl across 14 decades in time," J. Chem. Phys. 102, 471 (1995).
  47. Marcus T. Cicerone and M. D. Ediger, "Relaxation of spatially heterogeneous dynamic domains in supercooled ortho-terphenyl," J. Chem. Phys. 103, 5684 (1995).
  48. xx, "Translational diffusion on heterogeneous lattices: a model for dynamics in glass forming materials," J. Physical Chemistry 101, 8727 (1997).
  49. S. R. Kudchadkar and J. M. Wiest, "Molecular dynamics simulations of the glass former ortho-terphenyl," J. Chem. Phys. 103, 8566 (1995).
  50. Frank H. Stillinger, "Statistical mechanics of metastable matter: superheated and stretched liquids," Phys. Rev. E 52, 46685 (1995).
  51. Jennifer A. Hodgdon and Frank H. Stillinger, "Stokes-Einstein violation in glass-forming liquids," Phys. Rev. E 48, 207 (1993).

G3

  1. Stephen A. Langer and James P. Sethna, "Entropy of glasses," Phys. Rev. Lett.61, 570 (1988).
  2. Florian Muller-Plathe, "Diffusion of penetrants in amorphous polymers: a molecular dynamics study," J. Chem. Phys.94, 3192 (1991).
  3. L. M. Torell et al., "On the non-exponential versus non-Arrhenius behavior of the structural relaxation in glass forming liquids," J. Phys. Condens. Mat. 2, SA207-SA214 (1990).
  4. H. Tanaka et al., "Transition from metastability to instability in a binary liquid mixture," Phys. Rev. Lett.65, 3136 (1990). reference to Unger and Klein.
  5. G. V. Vijayadamodar and B. Bagchi, "Relaxation of intermediate wave vector density fluctuations in dense binary liquids," J. Chem. Phys. 93, 689 (1990).
  6. G. Seeley and T. Keyes, "Normal mode analysis of liquid state dynamics," J. Chem. Phys. 91, 5581 (1989).
  7. B. Madan, T. Keyes, and G. Seeley, "Diffusion in supercooled liquids via normal mode analysis," J. Chem. Phys. 92, 7565 (1990).
  8. B. Madan, T. Keyes, and G. Seeley, "Normal mode analysis of the velocity correlation function in supercooled liquids," J. Chem. Phys. 94, 6762 (1991).
  9. John E. Adams and Richard M. Stratt, "Instantaneous normal mode analysis as a probe of cluster dynamics," J. Chem. Phys. 93, 1332 (1990).
  10. John E. Adams and Richard M. Stratt, "Extensions to the instantaneous normal mode analysis of cluster dynamics: Diffusion constants and the role of rotations in clusters," J. Chem. Phys. 93, 1632 (1990).
  11. J. L. Barrat, J. N. Roux, and J.-P. Hansen, "DIffusion, viscosity and structural slowing down in soft sphere alloys near the kinetic glass transition," Chem. Phys. (1990).
  12. Brian B. Laird and H. R. Schober, "Localized low-frequency vibrational modes in a simple model glass," Phys. Rev. Lett.66, 6326 (1991).
  13. J. E. Sacco and J. Chalupa, "Local ground states of a quenched lattice gas," Solid State Commun. 39, 75 (1981).
  14. Thomas A. Weber, Glenn H. Fredrickson, and Frank H. Stillinger, "Relaxation behavior in a tiling model for glasses," Phys. Rev. B 34, 7641 (1986).
  15. Somendra M. Bhattacharjee and Eugene Helfand, "Equilibrium behavior of the tiling model," Phys. Rev. B 36, 3332 (1987).
  16. J. G. Harris and F. H. Stillinger, "Role of frustration interactions in the thermal properties of tiling models for glasses," Phys. Rev. B 41, 519 (1990).
  17. Scott Butler and Peter Harrowell, "The origin of glassy dynamics in the 2D facilitated kinetic Ising model," J. Chem. Phys.95, 4454 (1991). inhomogeneous system.
  18. Scott Butler and Peter Harrowell, "Glassy relaxation at surfaces: The correlation length of cooperative motion in the facilitated kinetic Ising model," J. Chem. Phys.95, 4466 (1991).
  19. Glenn H. Fredrickson and Hans C. Andersen, "Facilitated kinetic Ising models and the glass transition," J. Chem. Phys.83, 5822 (19875).
  20. Ian S. Graham, Luc Pieche, and Martin Grant, "Model for dynamics of structural glasses," Phys. Rev. E 55, 2132 (1997).
  21. David Rigby and Ryong-Joon Roe, "Molecular dynamics simulation of polymer liquid and glass. I. glass transition," J. Chem. Phys.87, 7285 (1987).

Mode coupling

  1. W. Gotze and L. Sjogren, "Relaxation processes in supercooled liquids," Rep. Prog. Phys. 55, 242-376 (1992).
  2. Wolfgang Gotze, "Aspects of structural glass transitions," Les Houches 1989.
  3. Cliff Z.-W. Liu and Irwin Oppenheim, "Microscopic theory for hopping transport in glass forming liquids," preprint.
  4. Cliff Z.-W. Liu and Irwin Oppenheim, "Reexamination of the mode-coupling scheme for the glass transition," Physica A 235, 369-387 (1997).
  5. Markus Nauroth and Walter Kob, "A quantitative test of the mode coupling theory of the ideal glass transition for a binary Lennard-Jones system," preprint.
  6. Walter Kob and Hans C. Andersen, "Scaling behavior in the beta-relaxation regime of a supercooled Lennard-Jones mixture," Phys. Rev. Lett.73, 1376 (1994).
  7. Walter Kob and Hans C. Andersen, "Testing mode coupling theory for a supercooled binary Lennard-Jones mixture: the van Hove correlation function," Phys. Rev. E 51, 4626 (1995).
  8. Walter Kob and Hans C. Andersen, "Testing mode coupling theory for a supercooled binary Lennard-Jones mixture. II. Intermediate scattering function and dynamic susceptibility," Phys. Rev. E 52, 4134 (1995).
  9. Walter Kob and Hans C. Andersen, "Relaxation dynamics in a lattice gas: A test of the mode coupling theory of the ideal glass transition," Phys. Rev. E 47, 3281 (1993).
  10. M. Fuchs, I. Hofacker, and A. Latz, "Primary relaxation in a hard sphere system," Phys. Rev. A 45, 898 (1992).
  11. M. Cristina Marchetti and Supurna Sinha, "Short wavelength collective modes in a binary hard sphere mixture," Phys. Rev. A 41, 3214 (1990).
  12. Jean-Louis Barrat and Arnulf Latz, "Mode coupling theory for the glass transition in a simple binary mixture," J. Phys. Condens. Mat. 2, 4289 (1990).
  13. J. L. Barrat, W. Gotze, and A. Latz, "The liquid-glass transition of the hard sphere system," J. Phys. Condens. Mat. 1, 7163 (1990).
  14. U. Balucani, "Shear viscosity in monatomic liquids: a simple mode-coupling approach," Mol. Phys. 71, 123 (1990).
  15. U. Balucani et al., "A self-consistent theory of single particle motion in ordinary and supercooled liquids," J. Phys. Condens. Mat. 2, 5015 (1990).
  16. W. Gotze and L. Sjogren, "Alpha-relaxation near the liquid glass transition," J. Phys. C 20, 879 (1987).
  17. U. Bengtzelius, "Theoretical calculations on liquid glass transitions in Lennard-Jones systems," Phys. Rev. A 33, 3433 (1986).
  18. U. Bengtzelius, "Dynamics of a Lennard-Jones system close to the glass transition," Phys. Rev. A 34, 5059 (1986).
  19. U. Bengtzelius, W. Gotze, and A. Sjolander, "Dynamics of supercooled liquids and the glass transition," J. Phys. C 17, 5915 (1984).
  20. U. Bengtzelius and L. Sjogren, "Changes of thermodynamic quantities at the glass transition," J. Chem. Phys.84, 1744 (1986).
  21. Bongsoo Kim and Gene F. Mazenko, "Mode coupling, universality, and the glass transition," preprint.
  22. Shankar P. Das, "Scaling behavior near glass instability in mode coupling model for dense fluids," J. Chem. Phys.98, 3328 (1993).
  23. Shankar P. Das and Gene F. Mazenko, "Fluctuating nonlinear hydrodynamics and liquid glass transition," Phys. Rev. A 34, 2265 (1986).
  24. Bongsoo Kim, "Stretching, mode coupling, and the glass transition," Phys. Rev. A 46, 1992 (1992).
  25. Rajeev Ahluwalia and Shankar P. Das, "Mode coupling effects in self-diffusion in a simple liquid at freezing," Phys. Rev. E 54, 463 (1996).
  26. M. Fuchs, W. Gotze, S. Hildebrand, and A. Latz, "A theory for the beta-relaxation near the liquid to glass crossover," J. Phys. Condens. Mat.4, 7709 (1992).
  27. W. van Megen and S. M. Underwood, "Glass transition in colloidal hard spheres," Phys. Rev. Lett. 70, 2766 (1993).
  28. Iwao Teraoka and Frank E. Karasz, "Glass transition and dynamic mobility spectrum of an isotropic system of rodlike molecules," Phys. Rev. E 47, 1108 (1993).
  29. H. Teichler, "Evaluation of the memory kernel for fluctuation decay in simulated glass forming liquids," Phys. Rev. E 53, R4287 (1996).
  30. R. Schmitz, James W. Dufty, and Piali De, "Absence of sharp glass transition in mode coupling theory," Phys. Rev. Lett. 71, 2066 (1993).
  31. T. Franosh and W. Gotze, "Mode-coupling theory for the shear viscosity in supercooled liquids," Phys. Rev. E 57, 5833 (1998).
  32. Kyozi Kawasaki, "Mode-coupling theory and dynamical density functional theory: aplication to supercooled liquid and glass," preprint.

G4

  1. Sushanta Dattagupta and Lukasz A. Turski, "Interplay of orientational order and visoelasticity in supercooled liquids near the glass transition," Phys. Rev. E 47, 1222 (1993).
  2. Pierre Wiltzius and Wim van Saarloos, "Absence of increase in length scale upon approaching the glass transition in liquid glycerol," J. Chem. Phys.94, 5061 (1991).
  3. S. A. Brawer, "Theory of relaxation in viscous liquids and glasses," J. Chem. Phys.81, 954 (1984).
  4. D. Sidebottom, R. Bergman, L. Borjesson, and L. M. Torell, "Two-step relaxation decay in a strong glass former," Phys. Rev. A 71, 2260 (1993).
  5. J. L. Finney and J. Wallace, "Interstice correlation functions: a new, sensitive characterization of non-crystalline packed structures," J. Non-Cryst. Sol.43, 165-187 (1981).
  6. Matthew A. Glaser and Noel A. Clark, "Melting and liquid structure in two dimensions," Adv. Chem. Phys. 83, 543 (1993).
  7. J. Colmenero et al, "Correlation between non-Debye behavior and Q behavior of the alpha relaxation in glass-forming polymeric systems," Phys. Rev. Lett.69, 478 (1992).
  8. I. Avramov, "Influence of disorder on viscosity of undercooled melts,:" J. Chem. Phys. 95, 4439 (1991).
  9. Susumu Fujiwara and Fumiko Yonezawa, "Molecular dynamics simulations of anomalous relaxation in a binary Lennard-Jones system," Phys. Rev. E 54, 644 (1996).
  10. K. Schmidt-Rohr and H. W. Spiess, "Nature of nonexponential loss of correlation above the glass transition...," Phys. Rev. Lett.66, 3020 (1991).
  11. Kazumasa Shinjo, "Molecular dynamics studies of monatomic glasses: How is glass transition simulated by computer?," J. Chem. Phys.90, 6627 (1989).
  12. Kazumasa Shinjo, "Formation of a glassy solid by computer simulation," Phys. Rev. B 40, xxx (1989).
  13. E. W. Fischer et al., "Temperature dependence of characteristic length for glass transition," Phys. Rev. Lett.68, 2344 (1992).
  14. J. Nell Cape and Leslie V. Woodcock, "Glass transition in a soft-sphere model," J. Chem. Phys.72, 976 (1980).
  15. T. Tomida and T. Egami, "Molecular dynamics study of orientational order in liquids and glasses and its relation to the glass transition," Phys. Rev. B 52, 3290 (1995).
  16. Walter Kob and Jean-Louis Barrat, "Aging effects in a Lennard-Jones glass," Phys. Rev. Lett. 78, 4581 (1997), cond-mat/9704006.
  17. U. Geppert, H. Rieger, and M. Schreckenberg, "A hierarchical model for aging," cond-mat/9703235.
  18. Jean-Philippe Bouchaud, Leticia Cugliandolo, Jorge Kurchan, and Marc Mezard, "Mode-coupling approximations, glass theory and disordered systems," Physica A 226, 243-273 (1996), cond-mat/9511042, 8 Nov 1995.
  19. Walter Kob, "The mode coupling theory of the glass transition," cond-mat/9702073.
  20. W. Kob, "Computer simulations of supercooled liquids and glass," cond-mat/9809268.
  21. C. Dasgupta and O. T. Valls, "Entropic origin of the growth of relaxation times in simply glassy liquids," Phys. Rev. E 58, 801 (1998).
  22. C. Dasgupta and O. T. Valls, "Free energy landscape of a dense hard-sphere system," cond-mat/9868142.
  23. Ryoichi Yamamoto and Akira Onuki, "Heterogeneous diffusion in highly supercooled liquids," Phys. Rev. Lett. 81, 4915 (1998).
  24. Ryoichi Yamamoto and Akira Onuki, "Dynamics of highly supercooled liquids," cond-mat/9811002.
  25. M. M. Hurley and Peter Harrowell, "Kinetic structure of a two-dimensional liquid," Phys. Rev. E 52, 1694 (1995).
  26. D. B. Perera and P. Harrowell, "Origin of the difference in the temperature dependences of diffusion and structural relaxation in a supercooled liquid," Phys. Rev. Lett. 81, 120 (1998).
  27. U. Tracht, M. Wilhelm, A. Heuer, H. Feng, S. Schmidt-Rohr, and H. W. Spiess, "Length scale of dynamic heterogeneities at the glass transition determined by multidimensional nuclear magnetic resonance, Phys. Rev. Lett. 81, 2727 (1998).
  28. A. Arbe, J. Colmenero, M. Monkenbusch, and D. Richter, "Dynamics of glass-forming polymers: homogeneous versus heterogeneous scenario," Phys. Rev. Lett. 81, 590 (1998).
  29. T. Kitamura, "The origin of the Vogel-Fulcher law near the liquid-glass transition," Physics A 262, 16 (1999).

G5

  1. Daniel Kivelson and Gilles Tarjus, "Phenomenological analysis of supercooled liquids," Cargese 1999 summer school.
  2. Gilles Tarjus, Christiane Alba-Simionesco, Maria Luisa Ferrer, Hajime Sakai, and Daniel Kivelson, "The Viscous Slowing Down of supercooled liquids as a temperature-controlled process. Evidence and consequences," Slow Dynamics in Complex Systems.
  3. Maria Luisa Ferrer and Daniel Kivelson, "Constant density activation energies and the role of activated dynamics in liquids above their melting points," J. Chem. Phys. 110, 10963 (1999).
  4. Maria Luisa Ferrer, Hajime Sakai, Daniel Kivelson, and Christiane Alba-Simionesco, "Extension of the Angell Fragility Concept," J. Phys. Chem B 103, 4191-4196 (1999).
  5. Maria Luisa Ferrer, Christopher Lawrence, and Daniel Kivelson, "Supercooled liquids and the glass transition: Temperature as the control variables," J. Chem. Phys. 109, 8010 (1998).
  6. Daniel Kivelson and Gilles Tarjus, "Observed anomalies in supercooled liquids described by frustration-limited domain theory," Phil. Mag. B 77, 245-256 (1998).
  7. Daniel Kivelson and Gilles Tarjus, "The Kauzmann paradox interpreted via the theory of frustration-limited domains," J. Chem. Phys. 109, 5481 (1998).
  8. Daniel Kivelson and Gilles Tarjus, "SuperArrenhenius character of supercooled glass-forming liquids," J. Non-Cryst. Solids 235-237, 86-100 (1998).
  9. Gilles Tarjus, Daniel Kivelson and Steven Kivelson, "Frustration-limited domain theory of supercooled liquids and the glass transition," Chapter 5.
  10. Daniel Kivelson, Gilles Tarjus, and Steven Kivelson, "A viewpoint, model and theory for supercooled liquids," Prog. Theor. Phys. Suppl. 126, 289 (1997).
  11. Daniel Kivelson, Gilles Tarjus, Xiaolin Zhai, and Steven Kivelson, "Fitting of viscosity: Distinguishing the temperature dependences predicted by various models of supercooled liquids," Phys. Rev. E 53, 751 (1996).
  12. Gilles Tarjus, Daniel Kivelson, and Pascal Viot, "The viscous slowing down of supercooled liquids as a temperature-controlled superArrhenius activated process: a description in terms of frustration-limited domains," J. Phys.: Condensed Matter, cond-mat/0002372.
  13. G. Tarjus and D. Kivelson, "The viscous slowing down of supercooled liquids and the glass transition: phenomenology, concepts, and models," cond-mat/0003368.
  14. Kurt Binder, Jorg Baschnagel, Sabine Bohmer, and Wolfgang Paul, "Simulation of the glass transition in polymeric systems: evidence for an underlying phase transition?," Phil. Mag. 77, 591-608 (1998). Notes: use bond fluctuation model. height, position, and width of S(q) do not change much with T - result compatible with experiment. In spin glasses there is clear evidence that dramatic slowing down at the freezing transition is related to an underlying static transition with a divergent nonlinear susceptibility and correlation length. Finds evidence for increasing correlation length from g(r) and wall effects. Fit upper and lower envelope of g(r) by $f(r) = 1 \pm a_\pm e^P-r/\xi_\pm$. Extracted length increases.
  15. Subir Sachdev and David R. Nelson, "Statistical mechanics of pentagonal and icosahedral order in dense liquids," Phys. Rev. B 32, 1480 (1985).
  16. J. Roth, Comment on "Formation of a dodecagonal quasicrystalline phase in a simple monatomic liquid," Phys. Rev. Lett.79, 4042 (1997). Mikhail Dzugutov reply, Phys. Rev. Lett.79, 4043 (1997).
  17. Joseph P. Straley, "Crystallization in curved three-dimensional space," Phys. Rev. B 30, 6592 (1984). Looks at 1/r^12 monatomic system in 2D, 3D, and surface of a 4D hypersphere. Finds that 2D and hypersphere systems crystallize much more readily.
  18. Claudio Donati, Sharon C. Glotzer, Peter H. Poole, Walter Kob, and Steven J. Plimpton, "Spatial correlations of mobility and immobility in glass forming Lennard-Jones liquid," Phys. Rev. E 60, 3107 (1999). cond-mat/9810060.
  19. Richard K. Bowles, "A thermodynamic description of the glass transition: An exact 1D example, preprint.
  20. Richard K. Bowles and Robin J. Speedy, "Five discs in a box," Physica A 262, 76-87 (1999).
  21. H. Jonsson and H. C. Andersen, "Icosahedral ordering in the Lennard-Jones liquid and glass," Phys. Rev. Lett.60, 2295 (1988).
  22. T. Tomida and T. Egami, "Molecular dynamics study of orientational order in liquids and glasses and its relation to the glass transition," Phys. Rev. B 52, 3290 (1995).
  23. L. Angelani, G. Parisi, G. Ruocco, and G. Vilani, "Connected network of minima as a model glasses: long time dynamics," cond-mat/9803165.
  24. Scott D. Bembenek and Brian B. Laird, "Instantaneous normal modes and the glass transition," Phys. Rev. Lett.74, 936 (1995).
  25. U. Schneider, R. Brand, P. Lunkenheimer, and A. Loidl, "Scaling of broadband dielectric data of glass-forming liquids and plastic crystals," cond-mat/9902318.
  26. U. Schneider, P. Lunkenheimer, R. Brand, A. Loidl, "Fast Dynamics of Glass-forming Liquids investigated by Dielectric Spectroscopy: a Comparison," cond-mat/9904337.
  27. U. Schneider, P. Lunkenheimer, A. Pimenov, R. Brand, and A. Loidl, "Wide range dielectric spectroscopy on glass-forming materials: An experimental review," cond-mat/9908279.
  28. U. Schneider, R. Brand, P. Lunkenheimer, and A. Loidl, "The Excess Wing in the Dielectric Loss of Glass-Formers: A Secondary Relaxation?," cond-mat/0001055.
  29. R. Brand, P. Lunkenheimer, U. Schneider, A. Loidl, "The excess wing in the dielectric loss of glass-forming ethanol: A relaxation process," cond-mat/0002460, submitted to Phys. Rev. B.
  30. V. A. Stephanovich, M. D. Glinchuk, B. Hilczer, L. Jastrabik, "On the physical mechanisms of relaxation time distribution in disordered dielectrics," cond-mat/9907250.
  31. Rajiv R. Singh and Jeffrey Kovac, "Statistical mechanics of a quenched can der Waals fluid," J. Chem. Phys. 90, 6587 (1989).
  32. G. Daldoss, O. Pilla, and G. Vilani, "Search for tunneling centres in Lennard-Jones clusters," Phil. Mag. B 77, 689-698 (1998).
  33. C. N. Likos, M. Watzlawek, and H. Lowen, "Freezing and clustering transitions for penetrable spheres," Phys. Rev. E 58, 3135 (1998).
  34. Miguel Cardenas, Silvio Franz, and Giorgio Parisi, "Constrained Boltzmann-Gibbs measures and effective potential for glasses in hypernetted approximation and numerical simulations," cond-mat/9801155.

G6

  1. J. Hammann, E. Vincent, V. Dupuis, M. Alba, M. Ocio, and J.-P.Bouchaud, "Comparative review of aging properties in spin glasses and other disordered materials," cond-mat/9911269. Proceedings of the workshop "Frontiers in Magnetism", Kyoto Oct.99.
  2. Giorgio Parisi, "Physics of glassy systems," cond-mat/9910375. Invited paper at the Lattice 99 conference, Pisa.
  3. A. Crisanti and F. Ritort, "Are Mean-Field Spin-Glass Models Relevant for the Structural Glass Transition?," cond-mat/9911351. Contributed paper to the Int. Conf. on "Statistical Mechanics and Strongly Correlated System," 2nd Giovanni Paladin Memorial, Rome 27-29 September 1999, Physica A.
  4. Ludger Santen and Werner Krauth, "Absence of thermodynamic phase transition in a model glass former," Nature 405, 550 (2000), cond-mat/9912182. keywords: hard disks, nonlocal Monte Carlo moves.
  5. Xiaoyu Xia and Peter G. Wolynes, "Fragilities of Liquids Predicted from the Random First Order Transition Theory of Glasses," cond-mat/9912442.
  6. Ryoichi Yamamoto and Walter Kob, "Replica-exchange molecular dynamics simulation for supercooled liquids," cond-mat/0001042. keyword: replica-exchange Monte Carlo.
  7. G. Ruocco, F. Sette, R. Di Leonardo, G. Monaco, M. Sampoli, T. Scopigno, and G. Viliani, "Relaxation processes in harmonic glasses?," cond-mat/0001030.
  8. Jean-Philippe Bouchaud, "Aging in glassy systems: new experiments, simple models, and open questions," cond-mat/9910387.
  9. Raphael Exartier and Luca Peliti, "Measuring effective temperatures in out-of-equilibrium driven systems," cond-mat/9910412. keyword: driven glassy system.
  10. A. Lipowski and D. Johnston, "Cooling-rate effects in a model of (ideal?) glass," cond-mat/9910370. keywords: 3D Ising model with 4 spin interactions.
  11. Claudio Donati, Silvio Franz, Giorgio Parisi, and Sharon C. Glotzer, "Theory of Non-linear Susceptibility and Correlation Length in Glasses and Liquids," cond-mat/9905433.
  12. Silvio Franz and Giorgio Parisi, "Phase diagram of glassy systems in an external field," Phys. Rev. Lett. 79, 2486 (1997), cond-mat/9701033.
  13. Matthieu Micoulaut, "Nucleation model for the description of glass formation," Modern Physics Letters 12B(14-15), 561-568 (1998), cond-mat/9809223.
  14. J. Warnock, D. W. Awschalom, and M. W. Shafer, "Geometrical supercooling of liquids in porous glass," Phys. Rev. Lett. 57, 1753 (1986).
  15. W. Gotze and Th. Voigtmann, "Universal and non-universal features of glassy relaxation in propylene carbonate," cond-mat/0001188, Phys. Rev. E.
  16. Walter Kob, "Supercooled Liquids and Glasses," cond-mat/9911023.
  17. P. Chandra and L.B. Ioffe, "Distribution of Attraction Basins in a Family of Simple Glasses," cond-mat/9909381.
  18. Andrea Cavagna, "Fragile vs strong liquids: a saddles ruled scenario," cond-mat/9910244.
  19. Kamal K. Bhattacharya and James P. Sethna, "Multicanonical methods, molecular dynamics, and Monte Carlo methods: Comparison for Lennard-Jones glasses," Phys. Rev. E 57, 2553 (1998).
  20. Giorgio Parisi, "The Physics of the Glass Transition," cond-mat/0001335, invited talk at the II Paladin Memorial Conference.
  21. V. G. Rostiashvili and T. A. Vilgis, "How to break the replica symmetry in structural glasses," Europhys. Lett, cond-mat/9911280. keyword: spinodal.
  22. V. A. Luchnikov, N. N. Medvedev, Yu. I. Naberukhin, and H. R. Schober, "Voronoi-Delaunay analysis of normal modes in a simple model glass," cond-mat/9906248.
  23. R. Di Leonardo, L. Angelani, G. Parisi, and G. Ruocco, "Off-Equilibrium Effective Temperature in Monatomic Lennard-Jones Glass," cond-mat/0001311.
  24. L. Angelani, M. Montagna, G. Ruocco, and G. Vilian, "Frustration and sound attenuation in structural glasses," cond-mat/0001363.
  25. Giorgio Parisi, "On the mean field approach to glassy systems," cond-mat/9701034. Lecture given at the Sitges conference, June 1996.
  26. Theo M. Nieuwenhuizen, "Solvable model for the standard folklore of the glassy state," cond-mat/9911052.
  27. U. Zurcher and T. Keyes, "Soft Modes in Glass-forming liquids: The roles of local stress," in "Supercooled Liquids: Advances and Novel Applications," J. Fourkas et al., eds. American Chemical Society 676, 82 (1997).
  28. U. Bucheanau, A. Wischnewski, D. Richter and B. Frick, "Is the Fast Process at the Glass Transition Mainly due to Long Wavelength Excitations?," Phys. Rev. Lett. 77, 4035, (1996).
  29. Eran Rabani, J. Daniel Gezelter and B. J. Berne, "Direct observation of stretched-exponential relaxation in Lennard-Jones glasses using the cage correlation function," Phys. Rev. Lett. 82,3649-3652 (1999).
  30. U. Zurcher and T. Keyes, "Comment on "Direct Observation of Stretched-Exponential Relaxation in Low-Temperature Lennard-Jones Systems Using the Cage Correlation Function," Phys. Rev. Lett. 85 466 (2000); Eran Rabani, J. Daniel Gezelter, and B. J. Berne, "Reply," Phys. Rev. Lett. 85 467 (2000).
  31. Huafeng Xu and B. J. Berne, "Multicanonical jump walking: A method for efficiently sampling rough energy landscapes," J. Chem. Phys. 110, 10299 (1999).
  32. Yong-Han Lee and B. J. Berne, "Global Optimization; Quantum Thermal Annealing with Path Integral Monte Carlo."
  33. J. Daniel Gezelter, Eran Rabani, and B. J. Berne, "Can imaginary instantaneous normal mode frequencies predict farriers to self-diffusion?" J. Chem. Phys. 107, 4618 (1997).
  34. Ruhong Zhou, Steven J. Stuart, and B. J. Berne, "Molecular dynamics for nonequilibrium systems in which there are a small number of very hot particles in a cold bath: Reference system propagator methods," J. Chem. Phys. 105, 235 (1996).
  35. Normand Mousseau, "Cooperative motion in Lennard-Jones binary mixtures below the glass transition," cond-mat/0004356.
  36. Srihanth Sastry, "Evaluation of configurational entropy of a model liquid from computer simulations," cond-mat/0005225.
  37. Marc Mezard, "First Steps in Glass Theory," cond-mat/0005173.
  38. Philippe Sindzingre and Michael L. Klein, "A molecular dynamics study of methanol near the liquid-glass transition," J. Phys. Chem. 96, 4681 (1992).
  39. Duane C. Wallace, "Application of liquid dynamics theory to the glass transition," Phys. Rev. E 60, 7049 (1999).
  40. Marcel Utz, Pablo G. Debenedetti, and Frank H. Stillinger, "Atomistic Simulation of Aging and in Glasses," Phys. Rev. Lett. 84, 1471 (2000).

G7

  1. Barbara Coluzzi, Giorgio Parisi, and Paolo Verrocchioz, "The thermodynamical liquid-glass transition in a Lennard-Jones binary mixture," Phys. Rev. Lett. 84, 306 (2000), cond-mat/9906172.
  2. B. Coluzzi, G. Parisi, and P. Verrocchio, "Lennard-Jones binary mixture: a thermodynamical approach to glass transition," J. Chem. Phys. 112, 2933-2944 (2000).
  3. Barbara Coluzzi, Marc Mezard, Giorgio Parisi, "Thermodynamics of binary mixture glasses," J. Chem. Phys. 111, 9039 (1999).
  4. Giorgio Parisi, "A divergent correlation length in off-equilibrium glasses," cond-mat/9801034.
  5. Andreas Jaster, An improved Metropolis algorithm for hard core systems," Physica A 264, 134 (1999), cond-mat/9711256.
  6. Andreas Jaster, "Orientational order of the two-dimensional hard disk system," Europhys. Lett. 42, 227-281 (1998), cond-mat/9807289,
  7. Andreas Jaster, "Computer simulations of the two-dimensional melting transition using hard disks," Phys. Rev. E 59, 2594 (1999), cond-mat/9810274.
  8. Andreas Jaster, "Short-time dynamics of the positional order of the two-dimensional hard disk system," Phys. Lett. A 258, 59 (1999), cond-mat/9807295.
  9. Ryoichi Yamamoto and Akira Onuki, "Dynamics of Highly Supercooled Liquids:Heterogeneity, Rheology, and Diffusion," cond-mat/9806207.
  10. Ryoichi Yamamoto and Akira Onuki, "Kinetic Heterogeneities in a Highly Supercooled Liquid," J. Phys. Soc. Japan 66, 2545 (1997), cond-mat/9807218.
  11. F. Demichelis, G. Viliani, and G. Ruocco, "Potential energy topology and relaxation processes in a model glass," cond-mat/9804114.
  12. G. Daldoss, O. Pilla, G. Viliani, and G. Ruocco, "Energy landscape, two-level systems and entropy barriers in Lennard-Jones clusters," cond-mat/9804113.
  13. L. E. Walther, N. E. Israeloff, E. Vidal Russell, and H. Alvarez Gomariz, "Mesoscopic-scale dielectric relaxation at the glass transition," Physical Review B 57, R15112-R15115 (1998).
  14. E. Vidal Russell, N. E. Israeloff, L. E. Walther, and H. Alvarez Gomariz, "Nanometer Scale Dielectric Fluctuations at the Glass Transition," Phys. Rev. Lett. 81, 1461 (1998).
  15. Marc Mezard and Giorgio Parisi, "Thermodynamics of glasses: a first principles computation," cond-mat/9807420.
  16. Miguel Cardenas, Silvio Franz, Giorgio Parisi,"Constrained Boltzmann-Gibbs measures and effective potential for glasses in hypernetted chain approximation and numerical simulations," cond-mat/9801155, J. Chem. Phys. 110, 1726 (1999).
  17. T. Keyes, G. V. Vijayadamodar, and U. Zurcher, "An instantaneous normal mode description of relaxation in supercooled liquids," J. Chem. Phys. 106, 4651 (1997).
  18. Yutaka Kaneko and Jurgen Bosse, "Glass transition and delocalization in a binary hard-sphere mixture," Molecular Simulation 16, 249 (1996). keyword: mode coupling.
  19. Eric R. Weeks, John C. Crocker, Andrew C. levitt, Andrew Schofield, and D. A. Weitz, "Three-dimensional direct imaging of structural relaxation near the colloidal glass transition," Science xxxx (2000).
  20. Alfons van Blaaderen and Pierre Wiltzius, "Real-space structure of colloidal hard sphere glasses," Science 270, 1177 (1995).
  21. Robin J. Speedy, "On the reproducity of glasses," J. Chem. Phys. 100, 6684 (1994).
  22. Joonhyun Yeo, "Metastable dynamics of the hard sphere system," Phys. Rev. E 52, 853 (1995).
  23. M. D. Rintoul and S. Torquato, "Metastability and crystallization in hard sphere systems," Phys. Rev. Lett. 77, 4198 (1996).
  24. H. L. Frisch and J. K. Percus, "High dimensionality as an organizing device for classical fluids," Phys. Rev. E 60, 2942-2948 (1999).
  25. Robin J. Speedy, Glass transition in hard disc mixtures," J. Chem. Phys. 110, 4559 (1998).
  26. Robin J. Speedy, "The hard sphere glass transition," Mol. Phys. 95, 169-178 (1998).
  27. T. R. Kirkpatrick, D. Thirumali, and P. G. Wolynes, "Scaling concepts for the dynamics of viscous liquids near an ideal glassy state," Phys. Rev. A 40, 1045 (1989).
  28. T. R. Kirkpatrick and P. G. Wolynes, "Connections between some kinetic and equilibrium theories of the glass transition," Phys. Rev. A 35, 3072 (1987).
  29. T. R. Kirkpatrick and D. Thirumalai, "p-spin interaction spin-glass models: Connection with the structural glass problem," Phys. Rev. B 36, 5388 (1987).
  30. E. W. Fischer, E. Donth, and W. Steffen," Temperature dependence of characteristic length for glass transition," Phys. Rev. Lett. 68, 2344 (1992).
  31. Herve Carruzzo and Clare C. Yu, "Is the glass transition a thermodynamic phase transition?," cond-mat/9810209.
  32. Rajeev Ahluwalia and Shandkar P. Das, "Growing length scale related to the solidlike behavior in a supercooled liquid," Phys. Rev. E 57, 5771 (1998).
  33. M. Arndt, R. Stannarius, H. Groothues, E. Hempel, and E. Kremer, "Length scale of cooperativity in the dynamic glass transition," Phys. Rev. Lett. 79, 2077 (1997).
  34. R. V. Chamberlin, "Non-Arrhenius response of glass-forming liquids," Phys. Rev. B 48, 15638 (1993).
  35. R. V. Chamberlin, "Mesoscopic Mean-Field Theory for Supercooled Liquids and the Glass Transition," Phys. Rev. Lett. 82, 2520 (1999), cond-mat/9910370.
  36. Ralph V. Chamberlin, "Experiments and theory of the nonexponential relaxation in liquids, glasses, polymers, and crystals," Phase Transitions 65, 169 (1998), cond-mat/9910370.
  37. Wolfgang Kleemann, "Correlated domain dynamics in relaxor ferroelectrics and random-field systems," Phase Transitions 65, 141 (1998).
  38. Giorgio Parisi, "Slow dynamics of glassy systems," cond-mat/9705312.
  39. M. Mezard and G. Parisi, "A first principle computation of the thermodynamic of glasses," http://www.lpt.ens.fr/~mezard/Trieste.ps.
  40. Kazuhiro Fuchizaki and Kyozi Kawasaki, "Hopping Processes from Dynamical Density Function Theory for a Deeply Supercooled Hard-Sphere Liquid," jpsj 67, 2158 (1998).
  41. P. Jund, D. Caprion, and R. Jullien, "Structural and vibrational properties of a soft-sphere glass: influence of the quenching rate," Phil. Mag. B 77, 313-320 (1998).
  42. Srikanth Sastry, "Liquid Limits: The Glass Transition and Liquid-Gas Spinodal Boundaries of Metastable Liquids," cond-mat/0005372.
  43. K. Vollmayr-Lee, W. Kob, K. Binder, and A. Zippelius, "Cooling rate dependence and dynamic heterogeneity below the glass transition in a Lennard-Jones glass," Int. J. Mod. Phys. C 10, 1443-1451 (1999).
  44. A. Diaz-Sanchez, "Stretched exponential relaxation in the Coulomb glass," cond-mat/0006396, Phys. Rev. B.
  45. A. Diaz-Sanchez, A. Mobius, M. Ortuno, A. Neklioudov, and M. Schreiber, "Non-ergodic effects in the Coulomb glass: specific heat," cond-mat/0006229, Phys. Rev. B.
  46. L. L. Goncalves, M. Lopez de Haro, J. Taguena-Martinez, and R. B. Stinchcombe, "Nagel Scaling, Relaxation, and Universality in the Kinetic Ising Model on an Alternating Isotopic Chain," Phys. Rev. Lett. 84, 1507-1510 (2000).
  47. Herve M. Carruzzo and Clare C. Yu, "Thermodynamic generalized compressibility in a glass forming liquid," cond-mat/0004320.
  48. Silvio Franz and Giorgio Parisi, "On nonlinear susceptibility in supercooled liquids," cond-mat/0005095.
  49. K. Caprion, J. Matsui and H. R. Schober, "Universal behavior of relaxational heterogeneity in glasses and liquids," cond-mat/0005086.
  50. Michael R. Swift, Hemant Bokil, Rui D. M. Travasso, and Alan J. Bray, "Novel glassy behavior in a ferromagnetic p-spin model," cond-mat/0003384.
  51. Walter Kob, Claudio Brangian, Torsten Stuhn, and Ryoichi Yamamoto, "Equilibrating Glassy Systems with Parallel Tempering," cond-mat/0003282.
  52. Mark Mezard and Giorgio Parisi, "Statistical Physics of Structural Glasses," cond-mat/0002128.
  53. Chandan Dasgupta and Oriol T. Valls, "Free Energy Landscape Of Simple Liquids Near The Glass Transition," cond-mat/0002081.
  54. V.G. Rostiashvili and T.A. Vilgis, "Dynamics of structural models with a long-range interaction: glassy versus non-glassy behavior," cond-mat/0003444, Phys. Rev E.

Spin glasses and random systems

  1. P. W. Anderson, "Spin Glass III," Phys. Today xx 9 (1988).
  2. M. B. Weissman, "What is a spin glass? A glimpse via mesoscopic noise," Rev. Mod. Phys. 65, 829 (1993). finds 1/f noise.
  3. S. Kobe and T. Klotz, "Frustration: how it can be measured," Phys. Rev. E 52, 5660 (1995).
  4. I. A. Campbell, D. Petit, P. O. Mari, L. W. Bernardi, "Critical exponents in spin glasses: numerics and experiments," cond-mat/9912235. Proceedings of the workshop "Frontiers in Magnetism", Kyoto Oct.99.
  5. D. P. Landau and M. Blume, "Properties of a random Ising chain in a magnetic field," Phys. Rev. B 13, 287 (1976). Considers N = 1000 with pbc. Results for M(h) for T = 0.4, T = 1.0 and T = 4.0. No interesting results.
  6. B. Derrida, J. Vannimenus, and Y. Pomeau, "Simple frustrated systems: Chains, strips, and squares," J. Phys. C. 11, 4749 (1978). Find E and S as a function of field at T = 0. "Critical" values of B are at B = 2J/r where r is an integer. States that for T \neq 0, discontinuities in S are smoothed out and the spikes become sharp minima, indicating strong changes in local ordering at the critical values of H/J, though no real transitions subsist in one dimension.
  7. Julio F. Fernandez and Rodrigo Medina, "Remanence and non-exponential relaxation in an Ising chain with random bonds," Phys. Rev. B 19, 3561 (1979). Shows long time for system to reach equilibrium. Gives formula for "equilibrium" state of system with H = 0.
  8. J. K. Williams, "Ground state properties of frustrated Ising chains," J. Phys. C 14, 4095-4107 (1981). At B = 2J, there is a spike in the entropy.
  9. B. G. S. Doman and J. K. Williams, "Low temperature properties of frustrated Ising chains," J. Phys. C 15, 1693-1706 (1982). Calculate C as a function of b(B - 2J) and find peaks but no phase transition.
  10. Jorge V. Jose, Michael Mehl, and Jeffrey B. Sokoloff, "Static and dynamic properties of one-dimensional disordered magnetic Ising systems," Phys. Rev. B 27, 334 (1982).
  11. Adam Prugel-Bennett and Jonathan L. Shapiro, "The Dynamics of a Genetic Algorithm for Simple Random Ising Systems," postscript
  12. S. Masui, A. E. Jacobs, C. Wicentowich and B. W. Southern, "Metastable States of the Random-Field Ising Chain,'' J. Phys. A: 26, 25-37 (1993).
  13. O. Heinonen and P. L. Taylor, "Ordering in Random Ising Ferromagnets," J. Phys.: Condens. Matter 5, 3333 (1993).
  14. Prabodh Shukla, "Hysteresis in an Ising Chain with Quenched Random Disorder," Prog. Theor. Phys. 96, No. 1, July 1996.
  15. K. Hukushima and H. Kawamura, "Chiral-glass transition and replica symmetry breaking of a three-dimensional Heisenberg spin," cond-mat/0001127, Phys. Rev. E.
  16. H. Kawamura and K. Hukushima, "Dynamical aspects of a three-dimensional Heisenberg spin glass," cond-mat/0001126, Int. J. Mod. Phys. C.
  17. Bernd A. Berg and Tarik Celik, "New approach to spin glass simulations," Phys. Rev. Lett. 69, 2292 (1992).
  18. J. Houdayer, O. C. Martin, "Ising Spin Glasses in a Magnetic Field," Phys. Rev. Lett. 82, 4934-4937 (1999), cond-mat/9811419.
  19. A. P. Young, "Monte Carlo studies of short-range Ising spin glasses in zero field," J. Phys. C 18, L517 (1984).
  20. Scott Kirkpatrick and David Sherrington, "Infinitely-ranged models of spin glasses," Phys. Rev. B 17, 4384 (1978).
  21. Daniel C. Mattis and Prabasaj Paul, "Statistical transfer matrix of a spin glass ladder."
  22. Federico Ricci-Tersenghi and Riccardo Zecchina, "Glassy dynamics near zero temperature," cond-mat/0004438.

B1

  1. Gilbert Strang, "Wavelets," Amer. Sci. 82, 250 (1994).
  2. Lene Oddershede, Peter Dimon, and Jakob Bohr, "Self-organized criticality in fragmenting," Phys. Rev. Lett. 71, 3107 (1993).
  3. Yutaka Hobiki, Kousuke Yakubo, and Tsuneyoshi Nakayama, "Spectral distribution of drums with fractal perimeters: the Weyl-Berry-Lapidus conjecture," Phys. Rev. E 52, R1310 (1995).
  4. Lazaros K. Gallos, Panos Asgyrakis, and Klaus W. Kehr, "Distribution of the number of distinct sites visited by random walks in disordered lattices," Phys. Rev. E 52, 1520 (1995).
  5. Bruce MacDonald, Naeem Jan, D. L. Hunter, and M. O. Steinitz, "Polymer conformations through `wiggling'," J. Phys. A 18, 2627 (1985).
  6. G. R. Smith and A. D. Bruce, "A study of the multi-canonical Monte Carlo method," J. Phys. A 28, 6623 (1995).
  7. Ulrich Essmann, Lalith Perera, Max L. Berkowitz, Tom Darden, Hsing Lee, and Lee G. Pedersen, "A smooth particle mesh Ewald method," J. Chem. Phys. 103, 8577 (1995).
  8. Z. A. Rycerz, "Calculation of the coulomb interactions in condensed matter simulations," Mol. Sim. 9, 327 (1992).
  9. Jiri Kolafa and John W. Perram, "Cutoff errors on the Ewald summation formulae for point charge systems," Mol. Sim. 9, 351 (1992).
  10. Patrick J. Fay, John R. Ray, and Ralph J. Wolf, "Detailed balance methods for chemical potential determination," J. Chem. Phys. 103, 7556 (1995).
  11. K. J. Runge, Michael P. Surh, C. Mailhoit, and E. L. Pollock, "Path integral Monte Carlo calculations of orientational ordering in compressed H2," Phys. Rev. Lett. 69, 3527 (1992).
  12. Ditza Auerbach, Celso Grebogi, Edward Ott, and James A. Yorke, "Controlling chaos in high dimensional systems," Phys. Rev. Lett. 69, 3479 (1992).
  13. Ravi Bhagavatula, G. Grinstein, Yu He, and C. Jayaprakash, "Algebraic correlations in conserving chaotic systems," Phys. Rev. Lett. 69, 3483 (1992).
  14. Xiao-Guang Wu and Raymond Kapral, "Internal fluctuations and deterministic chemical chaos," Phys. Rev. Lett. 70, 1940 (1993).
  15. Gerald Jay Sussman and Jack Wisdom, "Chaotic evolution of the solar system," Science 257, 56 (1992).
  16. Iksoo Chang and Hagai Meirovitch, "Surface critical exponents of self-avoiding walks and trails on a square lattice," Phys. Rev. Lett. 69, 12 October (1992).
  17. A. Korzeniowski, J. L. Fry, D. E. Orr, and N. G. Fazleev, "Feynman-Kac path-integral calculation of the ground state energies of atoms," Phys. Rev. Lett. 69, 893 !992).
  18. Sudeshna Sinha, "Noisy uncoupled chaotic map ensembles violate the law of large numbers," Phys. Rev. Lett. 69, 3306 (1992).
  19. M. Michael Waldrop, "Artificial life's rich harvest," Science 257, 1040 (1992).
  20. Ofer Biham and Mark Kvale, "Unstable periodic orbits in the stadium model," Phys. Rev. A 46, 6334 (1992).
  21. "Fractals offer mathematical tool for study of complex chemical systems," C and E News 69, 28, April 22, 1991.
  22. D. K. Schwartz, S. Steinberg, J. Israelachvilli, and J. A. N. Zasadzinski, "Growth of a self-assembled monolayer by fractal aggregation," Phys. Rev. Lett. 69, 3354 (1992).
  23. Ayse Erzan and Sudeshna Sinha, "Spatiotemporal intermittency on the sandpile," Phys. Rev. Lett. 66, 2750 (1991).
  24. Ofer Biham, A. Alan Middleton, and Dov Levine, "Self-organization and a dynamical transition in traffic-flow models," Phys. Rev. A 46, R6124 (1992).
  25. F. Banhart, "Laplacian growth of amorphous carbon filaments in a non-diffusion-limited experiment," Phys. Rev. E 52, 5156 (1995).
  26. K. Schmoltzi and H. G. Schuster, "Introducing a real time scale into the Bak-Sneppen model," Phys. Rev. E 52, 5273 (1995).
  27. Zoltan Csahok and Tamas Vicsek, "Lattice-gas model for collective biological motion," Phys. Rev. E 52, 5297 (1995).
  28. Henry Kaufman, Alessandro Vespignani, Benoit B. Mandelbrot, and Lionel Woog, "Parallel diffusion-limited aggregation," Phys. Rev. E 52, 5602 (1995). keywords: Brownian motion.
  29. M. S. Abinante and L. Knopoff, "Quasidynamic model for earthquake simulations," Phys. Rev. E 52, 5675 (1995).
  30. Maya Paczuski, Sergei Maslov, and Per Bak, "Avalanche dynamics in evolution, growth, and depinning models," Phys. Rev. E xx, xxxx.
  31. T. L. Carroll and L. M. Pecora, "Stochastic resonance and crises," Phys. Rev. Lett. 70, 576 (1993).
  32. Moshe Gitterman and George H. Weiss, "Coherent stochastic resonance in the presence of a field," Phys. Rev. E 52, 5708 (1995).
  33. Mark Denny, "Survival in the surf zone," Amer. Sci. 83, 166 (1995).
  34. S. T. Cui and Denis J. Evans, "Molecular dynamics simulations of two dimensional flow past a plate," Mol. Sim. 9, 179-192 (1992).
  35. L. H. Hood, Denis J. Evans, and S. T. Cui, "Number dependece of viscosity in two dimensional fluids," Mol. Sim. 9, 307-310 (1992). keyword: project.
  36. G. E. Norman, V. Yu Podlipchuk, and A. A. Valuev, "Equations of motion and energy conservation in molecular dynamics," Mol. Sim. 9, 417-424 (1993). keyword: project.

B2

  1. Harald A. Posch, William Hoover, and Oyeon Kum, "Steady-state flows via nonequilibrium molecular dynamics and smooth-particle applied mechanics," Phys. Rev. E 52, 1711 (1995).
  2. Oyeon Kum, William Hoover, and Harald A. Posch, "Viscous conducting flows with smooth-particle applied mechanics," Phys. Rev. E 52, 4899 (1995).
  3. Wm. G. Hoover and H.A. Posch, "Numerical heat conductivity in smooth particle applied mechanics," Phys. Rev. E 54, 5142 (1996).
  4. G. Zumbach and H. Kunz, "A biased cluster algorithm for Monte Carlo simulations," Phys. Lett. A 165, 235 (1992).
  5. Andras Baranyai and Denis J. Evans, "Direct entropy calculation from computer simulations of liquids," Phys. Rev. A 40, 3817 (1989).
  6. Bruce J. Palmer, "Transverse-current autocorrelation function calculations of the shear viscosity for molecular liquids," Phys. Rev. E 49, 359 (1994).
  7. P. N. Segre, O. P. Behrend, and P. N. Pusey, "Short-time Brownian motion in colloidal suspensions: Experiment and simulations," Phys. Rev. E 52, 5070 (1995).
  8. B. D. Todd, Denis J. Evans, and Peter J. Davis, "Pressure tensor for inhomogeneous fluids," Phys. Rev. E 52, 1627 (1995).
  9. Cherry A. Murray and David G. Grier, "Colloidal Crystals," Amer. Sci. 83, 238 (1995).
  10. P. Mazur and W. Van Saarloos, "Many-sphere hydrodynamic interactions and mobilities in a suspension," Physica 115A, 21-57 (1982).
  11. Isaac C. Sanchez, "Virial coefficients and close-packing of hard spheres and disks," J. Chem. Phys. 101, 7003 (1994).
  12. P. J. Hoogerbrugge and J. M. V. A. Koelman, "Simulating microscopic hydrodynamic phenomena with dissipative particle dynamics," Europhys. Lett. 19, 155-160 (1992).
  13. Partha P. Mitra, Pabitra N. Sen, Lawrence M. Schwartz, and Pierre Le Doussal, "Diffusion Propagator as a probe of the structure of porous media," Phys. Rev. Lett. 68, 3555 (1992).
  14. Partha P. Mitra and Pabitra N. Sen, "Effects of microgometry and surface relaxation on NMR pulsed-field-gradient experiments: simple pore geometries," Phys. Rev. B 45, 143 (1992).
  15. J. E. Tanner and E. O. Stejskal, "Restricted self-diffusion of protons in colloidal systems by the pulsed-gradient, spin-echo method," J. Chem. Phys. 49, 1768 (1968).
  16. E. O. Stejskal, "Use of spin echoes in a pulsed magnetic-field gradient to study anisotropic, restricted diffusion and flow," J. Chem. Phys. 43, 3597 (1965).
  17. Lawrence M. Schwartz and Jayanth R. Banavar, "Transport properties of disordered continuum systems," Phys. Rev. B 39, 11965 (1989).
  18. A. S. Sangani and A. Acrivos, "Slow flow through a periodic array of spheres," Int. J. Multiphase Flow 8, 343-360 (1982). keywords: Stokes, hydrodynamics.
  19. A. A. Zick and G. M. Homsy, "Stokes flow through periodic arrays of spheres," J. Fluid Mech. 115, 13 (1982). keywords: hydrodynamics
  20. M. D. Rintoul and S. Torquato, "Algorithm to compute void statistics for random arrays of disks," Phys. Rev. E 52, 2635 (1995).
  21. Jerome J. Erpenbeck, "Einstein-Kubo-Helfand and McQuarrie relations for transport coefficients," Phys. Rev. E 51, 4296 (1995).
  22. S. L. A. de Queiroz and Eytan Domany, "Search for a KT transition in a triangular Ising antiferromagnet with further-neighbor ferromagnetic interactions," Phys. Rev. E 52, 4768 (1995).
  23. Sandra J. Barsky and Michael Plischke, "Order and localization in randomly cross-linked polymer chains," Phys. Rev. E 53, 871 (1996). keyword: molecular dynamics
  24. Nicos S. Martys and Hudong Chen, "Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method," Phys. Rev. E 53, 743 (1996).
  25. M. Wittkop, S. Kreitmeier, and D. Gotitz, "Monte Carlo simulations of a single polymer chain under extension above and below the theta temperature," Phys. Rev. E 53, 838 (1996).
  26. S. K. Lai and H. C. Chen, "Crossover integral-equation theory for the structure of simple liquid metals," Phys. Rev. E 52, 5692 (1995).
  27. M. Sun and C. Ebner, "Molecular dynamics study of flow at a fluid-wall interface," Phys. Rev. Lett. 69, 3491 (19992).
  28. E. Enciso, N. G. Almarza, and F. J. Bermejo, "Numerical simulations of effectively nonergodic systems," Mol. Phys. 76, 211 (1992).
  29. Michael C. Moody, John R. Ray, and Aneesur Rahman, "Free energy difference calculations comparing fcc and hcp structure using molecular dynamics computer simulations," J. Chem. Phys. 84, 1795 (1986).
  30. John E. Hunter III and William P. Reinhardt, "Finite-size scaling behavior of the free energy barrier between coexisting phases: determination of the critical temperature and interfacial tension of the Lennard-Jones fluid," J. Chem. Phys. 103, 8627 (1995).
  31. Yiping Tang and Benjamin C.-Y. Lu, "Improved expressions for the radial distribution function of hard spheres," J. Chem. Phys. 103, 7463 (1995).
  32. Denis J. Evans, "Time correlation relation for Lyapunov exponents," Phys. Rev. Lett. 69, 395 (1992).

B3

  1. Alain Karma, "Spiral breakup in model equations of action potential propagation in cardiac tissue," Phys. Rev. Lett. 71, 1103 (1993). keyword: project.
  2. B. T. Werner and B. Hallet, "Numerical simulation of self-organized stone stripes," Nature 361, 142 (1993). keyword: ripples.
  3. Tadashi Watanabe, Hideo Kaburaki, Masahiko Machida, and Mitsuo Yokawa, "Growth of long-range correlations in a transition between heat conduction and convection," Phys. Rev. E 52, 1601 (1995).
  4. Ary Goldberger, David R. Rigney, and Bruce J. West, "Chaos and fractals in human physiology," Sci. Amer. xx, 43, February (1990).
  5. W. Brian Arthur, "Positive feedbacks in the economy," Sci. Amer. xx, 92, February (1990).
  6. John Toner and George Y. Onoda, "Random sequential adsorption with particle coordination rules," Phys. Rev. Lett. 69, 1481 (1992).
  7. Donald L. Turcotte, "Modeling geomorphic processes," Physica D 77, 229-237 (1994).
  8. Walter Landry and B. T. Werner, "Computer simulations of self-organized wind ripple patterns," Physica D 77, 238-260 (1994).
  9. C. Jarzynski, "Chaotic adiabatic energy diffusion and the fermi mechanism," Physica D 77, 276-288 (1994).
  10. Per Bak and Kim Sneppen, "Punctuated equilibrium and criticality in a simple model of evolution," Phys. Rev. Lett. 71, 4083 (1993).
  11. Henrik Flyvbjerg, Kim Sneppen, and Per Bak, "Mean field theory for a simple model of evolution," Phys. Rev. Lett. 71, 4087 (1993).
  12. Kim Sneppen, Per Bak, Henrik Flyvbjerg, and Mogens H. Jensen," Evolution as a self-organized critical phenomena," preprint (1994).
  13. R. Seshadri and R. M. Westervelt, "Hexatic to liquid melting transition in two-dimensional magnetic bubble lattices," Phys. Rev. Lett. 66, 2772 (1991).
  14. Otto Mayr, "The origins of feedback control," Sci. Amer. xx.
  15. W. M. Saslow, M. Gabay, and W.-M. Zhang, Spiraling algorithm: collective Monte Carlo trial and self-determined boundary conditions for incommensurate spin systems," Phys. Rev. Lett. 68, 3627 (1992).
  16. B. W. van de Waal, "Comment on simple electrostatic model of the structural phase transition," Amer. J. Phys. 56, 750 (1988).
  17. Hong Guo, Martin Zuckermann, R, Harris, and Martin Grant, "A fast algorithm for simulated annealing," Physica Scripta T38, 40-44 (1991).
  18. L. Pietronero, A. Vespignani, and S. Zapperi, "Renormaliation group scheme for self-organized criticality in sandpile models," Phys. Rev. Lett. 72, 1690 (1994).
  19. Preben Alstrom and Joao Leao, "Self-organized criticality in the game of life," Phys. Rev. E 49, R2507 (1994).
  20. Jan Hemmingssson, "Consistent results on life," Physica A 80, 151 (1995).
  21. Kurt Wiesenfeld and Frank Moss, "Stochastic resonance and the benefits of noise: from ice ages to crayfish and squids," Nature 373, 33 (1995).
  22. J. B. Sokoloff, "Theory of electron and phonon contributions to sliding friction," preprint. keyword: Robbins.
  23. Weiguang Huang and D. Brynn Hibbert, "Computer modeling of electrochemical growth with convection and migration in a rectangular cell," Phys. Rev. E 53, 727 (1996).
  24. Michael Creutz, "Microcanonical cluster Monte Carlo," Phys. Rev. Lett. 69, 1002 (1992).

B4

  1. W. Smith, "Point multipoles in the Ewald summation," CCP5 Newsletter, No. 46.
  2. Niels Gronbech-Jensen, "Lekner summation of long range interactions in periodic systems," Int. J. Mod. Phys. 8, 1287 (1997).
  3. Niels Gronbech-Jensen, "Summation of logarithmic interactins in non-rectangular periodic media," Comp. Phys. Comm.
  4. Sheng-Nan Lai and Michael E. Fisher, "Criticality in Gaussian-molecule mixtures, Mol. Phys. 88, 1373 (1996).
  5. J. Machta, Y. S. Choi, A. Licke, T. Schweitzer, and L. Chayes, "Invaded cluster algorithms for Potts models," Phys. Rev. E 54, 1332 (1996).
  6. Ferenc Niedermayer, "Cluster algorithms," hep-lat/9704009.
  7. Ferenc Niedermayer, "General cluster updating method for Monte Carlo simulations, Phys. Rev. Lett. 61, 2026 (1988).
  8. Gyan Bhanot, Roman Salvador, Steve Vlack, Paul Carter, and Raul Toral, "Accurate estimate of n for the 3D Ising model from a numerical measurement of its partition function," Phys. Rev. Lett. 59, 803 (1987).
  9. Enzo Marinari, "Optimized Monte Carlo methods, cond-mat/9612010.
  10. G. T. Barkema and Normand Mousseau, "Event-based relaxation of continuous disordered systems," Phys. Rev. Lett. 77, 4358 (1996).
  11. Arthur F. Voter, "A method for accelerating the molecular dynamics simulation of infrequent events," J. Chem. Phys. 108, 4665 (1997).
  12. P. M. C. de Oliveira, T. J. P. Penna, and H. J. Herrmann, "Broad Histogram Method," Brazilian Journal of Physics 26, 677 (1996), cond-mat/9610041
  13. P. M. C. de Oliveira, T. J. P. Penna, and H. J. Herrmann, "Broad Histogram Monte Carlo," cond-mat/9709064.
  14. Paulo Murilo Castro de Oliveira, "Broad Histogram Relation is Exact," cond-mat/9807354.
  15. Jian-Sheng Wang, "Is the broad histogram random walk dynamics correct?," cond-mat/9810017.
  16. Jian-Sheng Wang, Tien Kiat Tay, and Robert H. Swendsen, "Transition matrix Monte Carlo reweighting and dynamics," cond-mat/9809181.
  17. M. E. J. Newman and R. G. Palmer, "Error estimation in the histogram Monte Carlo method," cond-mat/9804306.

Kinetic Theory

  1. Robert I. Cukier, Raymond Kapral, J. R. Mehaffey, and K. J. Shin, "Microscopic theory of condensed phase chemical reactions. I. Pair Phase space kinetic equation," J. Chem. Phys. 72, 1830 (1980).
  2. Robert I. Cukier, Raymond Kapral, J. R. Mehaffey, and K. J. Shin, "Microscopic theory of condensed phase chemical reactions. I. Pair Phase space kinetic equation," J. Chem. Phys. 72, 1844 (1980).
  3. Robert I. Cukier, Raymond Kapral, Julian R. Lebenhaft, and J. R. Mehaffey, "On the microscopic origin of Stokes' law," J. Chem. Phys. 73, 5244 (1980).
  4. Robert I. Curkier, Raymond Kapral, and J.R. Mehaffey, "Effect of static correlations on the pair friction coefficient," J. Chem Phys. 73, 5254 (1980).
  5. Robert I. Curkier, Raymond Kapral, and J.R. Mehaffey, "Kinetic theory of the hydrodynamic interaction between two particles," J. Chem Phys. 74, 2494 (1981).
  6. Mark Schell, Raymond Kapral, and Robert I. Curkier, "Recombination kinetics: Langevin dynamics with a space dependent friction coefficient," J. Chem. Phys. 75, 5879 (1981).
  7. Robert I. Cukier and J. R. Mehaffey, "Kinetic theory derivation of a pair configuration space diffusion equation," J. Phys. Chem. 69, 4962 (1978).
  8. Michael Pagitsas, James T. Hynes and Raymond Kapral, " Kinetic energy relaxation of a test particle in a dense fluid," J. Phys. Chem. 71, 4492 (1979).
  9. Charles D. Boley, "On the Approach to Kinetic Theory Due to Gross," Ann. Phys. 86, 91 (1974).
  10. Charles D. Boley, "Projection-operator approach to a renormalized kinetic theory," Phys. Rev. A 11, 328 (1975).
  11. C. D. Boley, "Shorter Route to the Mazenko Memory Function," Phys. Rev. A 5, 986 (1972).
  12. Michael Lindenfeld, "Identity for memory operators in classical kinetic theory," Phys. Rev. A 15, 1801 (1977).
  13. J. P. Hansen, E. L. Pollock and I. R. McDonald, "Velocity Autocorrelation Function and Dynamical Structure Factor of the Classical One-Component Plasma," Phys. Rev. Lett. 32, 277 (1974).
  14. J. P. Hansen, I. R. McDonald and E.L. Pollock, "Statistical mechanics of dense ionized matter. III. Dynamical properties of the classical one-component plasma," Phys. Rev. A 11, 1025 (1975).
  15. Jean Pierre Hansen and Ian R. McDonald, "Statistical mechanics of dense ionized matter IV. Density and charge fluctuations in a simple molten salt," Phys. Rev. A 11, 2111 (1975).
  16. P. Vieillefosse and J. P. Hansen, "Statistical mechanics of dense ionized water. V. Hydrodynamics limit and transport coefficients of the classical one-component plasma," Phys. Rev. A 12, 1106 (1975).
  17. B. Bernu and P. Vieillefosse, "Transport coefficients of the classical one-component plasma," Phys. Rev. A 18, 2345 (1978).
  18. B. Bernu and J. P. Hansen, "Thermal Conductivity of a strongly coupled hydrogen plasma," Phys. Rev. Lett. 48, 1375 (1982).
  19. I. R. McDonald, P. Vieillefosse, and J. P. Hansen, "Time-Dependent Density Fluctuations in a Strongly Coupled Ionic Mixture," Phys. Rev. Lett. 39, 271 (1977).
  20. Jean Wallenborn and Marc Baus, "Kinetic theory of the shear viscosity of a strongly coupled classical one-component plasma," Phys. Rev. A 18, 1737 (1978).
  21. J. P. Hansen, D. Levesque and J.J. Weis, "Self-Diffusion in the Two-dimensional, Classical Electron Gas," Phys. Rev. Lett. 43, 979 (1979).
  22. Marc Baus, "Theoretical evidence for the existence of the self-diffusion constant of two-dimensional electron liquids," J. Phys. C. 13, L41 (1980).
  23. M. Baus and J. Bosse, "Comments on self-diffusion in two-dimensional electron liquids," Phys. Rev. A 22, 2284 (1980).
  24. R. L. Varley and J. E. Tigner, "Velocity Autocorrelation Function in a strongly coupled, Magnetized, Pure Electron Plasma," Phys. Rev. Lett. 43, 1113 (1979).
  25. P. E. Mason and T. Gaskell, "Velocity correlation and collective modes in a rigid sphere fluid," Molecular Physics 41, 529 (1980).
  26. L. Sjogren, J. P. Hansen and E. L. Pollock, "Self-diffusion, conductivity, and long-wavelength plasma oscillations in strongly coupled two-component plasmas," Phys. Rev. A 24, 1544 (1981).
  27. L. Sjogren, "Kinetic theory of current fluctuations in simple classical liquids," Phys. Rev. A 22, 2866 (1980).
  28. L. Sjogren, "Numerical results on the density fluctuations in liquid rubidium," Phys. Rev. A 22, 2883 (1980).
  29. l. Sjogren and A. Sjolander, "Kinetic Theory of self motion in monatomic liquids," (1979).
  30. L. Sjogren, "Kinetic Theory of classical liquids V: Formal Theory" (1977).
  31. L. Sjogren, "Density fluctuations in liquid aluminium," J. Phys. C. 11, 1493 (1978).
  32. L. Sjogren and A. Sjolander, "Kinetic theory of self-motion in monatomic liquids," J. Phys. C. 12, 4369 (1979).
  33. L. Sjogren, "Numerical results on the velocity correlation function in liquid argon and rubidium," J. Phys. C. 12, 705 (1980).
  34. L. Sjogren and A. Sjolander, "Kinetic Theory of Classical Liquids. I. Basic Theory," Annals of Physics 122, 122 (1978).
  35. Marc Baus, "Collective Modes and Dynamic Structure Factor of a Two-Dimensional Electron Fluid," Journal of Statistical Physics 19, 163 (1978).
  36. Marc Baus, "Microscopic theory of the long-wavelength modes of two-component plasmas and ionic liquids," Physica 88A, 336 (1977).
  37. B. Bernu, "Single-Particle Motion in the Strongly Coupled One-Component Plasma," Journal of Statistical Physics 21, 447 (1979).
  38. Marc Baus, Jean-Pierre Hansen, and Lennart Sjogren, "Electrical conductivity of a fully ionized, weakly degenerate hydrogen plasma."
  39. L. Letamendia, P. Joubert, J. P. Chabrat, J. Rouch, C. Vaucamps, C. D. Boley, Sidney Yip and S. H. Chen, "Light-scattering studies of moderately dense gases. II. Nonhydrodynamic regime," Phys. Rev. A 25, 481 (1982).

Research Papers 1

  1. T. V. Ramakrishnan, "Density-Wave Theory of First-Order Freezing in Two Dimensions," Phys. Rev. Lett. 48, 541 (1982).
  2. T. V. Ramakrishnan and M. Yussouff, "First-principles order-parameter theory of freezing," Phys. Rev. B 19, 2775 (1979).
  3. R. M. J. Cotterill and J. U. Madsen, "Localized fluidity modes and the topology of the constant-potential-energy hypersurfaces of Lennard-Jones matter," Phys. Rev. B 33, 262 (1986).
  4. Jean-Pierre Hansen and Loup Verlet, "Phase Transitions of the Lennard-Jones System," Phys. Rev. 184, 151 (1969).
  5. M. J. Mandell, J. P. McTague, and A. Rahman, "Crystal nucleation in a three-dimensional Lennard-Jones system: A molecular dynamics study," J. Chem. Phys. 64, 3699 (1976).
  6. M. J. Mandell, J. P. McTague, and A. Rahman, "Crystal nucleation in a three-dimensional Lennard-Jones system. II. Nucleation kinetics for 256 and 500 particles," J. Chem. Phys. 66, 3070 (1977).
  7. A. Rahman, M. J. Mandell, and J.P. McTague, "Molecular dynamics study of an amorphous Lennard-Jones system at low temperature," J. Chem. Phys. 64, 1564, (1976).
  8. C. S. Hsu and Aneesur Rahman, "Crystal nucleation and growth in liquid rubidium," J. Chem. Phys. 70, 5234 (1979).
  9. C. S. Hsu and Aneesur Rahman, "Interaction potentials and their effect on crystal nucleation and symmetry," J. Chem. Phys. 71, 4974 (1979).
  10. J. Neil Cape, John L. Finney, and Leslie V. Woodcock, "An analysis of crystallization by homogeneous nucleation in a 4000-atom soft-sphere model," J. Chem. Phys. 75, 2366 (1981).
  11. Raymond D. Mountain, "Molecular-dynamics study of liquid rubidium," Phys. Rev. A 26, 2859 (1982).
  12. Raymond D. Mountain and Alan C. Brown, "Molecular dynamics investigation of homogeneous nucleation for inverse power potential liquids and for a modified Lennard-Jones liquid," J. Chem. Phys. 80, 2730 (1984).
  13. Alan C. Brown and Raymond D. Mountain, "Velocity correlations in supercooled and nucleated liquid rubidium," J. Chem. Phys. 80, 1263 (1984).
  14. Raymond D. Mountain and P. K. Basu, "Molecular dynamics study of homogeneous nucleation for liquid rubidium," J. Chem. Phys. 78, 7318 (1983).
  15. A. D. J. Haymet, "Orientational environments in liquids and solids," Chem. Phys. Lett. 107, 77 (1984).
  16. J. Dana Honeycutt and Hans C. Andersen, "The effect of periodic boundary conditions on homogeneous nucleation observed in computer simulations," Chem. Phys. Lett. 108, 535 (1984).
  17. J. Dana Honeycutt and Hans C. Anderson, "Small System Size Artifacts in the Molecular Dynamics Simulation of Homogeneous Crystal Nucleation in Supercooled Atomic Liquids," J. Phys. Chem. 90, 1585 (1986).
  18. F. W. De Wette, R. E. Allen, and D. S. Hughes, "Crystallization with a Lennard-Jones potential: a computer experiment," Phys. Lett. 29A, 548 (1969).
  19. C. Marshall, B. B. Laird and A. D. J. Haymet, "Freezing of the Lennard-Jones liquid," Chem. Phys. Lett. 122, 320 (1985).
  20. W. Klein and F. Leyvraz, "Crystalline Nucleation in Deeply Quenched Liquids," Phys. Rev. Lett. 57, 2845 (1986).
  21. Paul J. Steinhardt, David R. Nelson, and Marco Ronchetti, "Icosahedral Bond Orientational Order in Supercooled Liquids," Phys. Rev. Lett. 47, 1297 (1981).
  22. Paul J. Steinhardt, David R. Nelson, and Marco Ronchetti, "Bond-orientational order in liquids and glasses," Phys. Rev. B 28, 784 (1983).
  23. David R. Nelson, Michael Rubinstein, and Frans Spaepen, "Order in two-dimensional binary random arrays," Phil. Mag. A 46, 105 (1982).
  24. Michael Widom, Katherine J. Strandburg, and Robert H. Swendsen, "Quasicrystal Equilibrium State," Phys. Rev. Lett. 58, 706 (1987).
  25. J. F. McCarthy, "Continuum Percolation of Disks by a Cluster Growth Method on Random Lattices."
  26. Edward T. Gawlinski and H. Eugene Stanley, "Continuum percolation in two dimensions: Monte Carlo tests of scaling and universality for non-interacting discs," J. Phys. A 14, 291 (1981).
  27. C. A. Angell, J. H. R. Clarke and L. V. Woodcock, "Interaction potentials and glass formation: a survey of computer experiments," 397.
  28. Gary S. Grest and Morrel H. Cohen, "Liquids, glasses, and the glass transition: a free-volume approach," 455.
  29. Murty S. S. Challa and J. H. Hetherington, "Gaussian Ensemble as an Interpolating Ensemble," Phys. Rev. Lett. 60, 77 (1998).
  30. M. E. Colvin, A. J. C. Ladd and B. J. Alder, "Maximally Discretized Molecular Dynamic," Phys. Rev. Lett. 61, 381 (1998).
  31. L. Sjorgren, "Diffusion of impurities in a dense fluid near the glass transition," Phys. Rev. A 33, 1254 (1986).
  32. Hiroshi Iyetomi and Setsuo Ichimaru, "Possibility of an amorphous glassy state in a supercooled plasma," Phys. Rev. A 27, 1734 (1983).
  33. William G. Hoover, Marvin Ross, Keith W. Johnson, Douglas Henderson, John A. Barker and Bryan C. Brown, "Soft-Sphere Equation of State," J. Chem. Phys. 52, 4931 (1970).
  34. William G. Hoover, Steven G. Gray, and Keith W. Johnson, "Thermodynamic Properties of the Fluid and Solid Phases for Inverse Power Potentials," J. Chem. Phys. 55, 1128 (1971).
  35. Marvin Bishop, Marie Derosa and Joanne Lalli, "Molecular Dynamics Simulations of One-Dimensional Lennard-Jones Systems," J. Stat. Phys. 25, 229 (1981).
  36. Soren Toxvaerd, "A New Agorithm for Molecular Dynamics Calculations," J. Chem. Phys. 47, 444 (1982).
  37. A. Rahman and F. H. Stillinger, "Molecular Dynamics Study of Liquid Water." keyword: Gear algorithm.
  38. D. Beeman, "Some Multistep Methods for Use in Molecular Dynamics Calculations," J. Chem. Phys. 20, 130 (1976).
  39. W. B. Streett, D. J. Tildesley and G. Saville, "Multiple time-step methods in molecular dynamics," Mol. Phys. 35, 639 (1978).
  40. Seixo Watarai and Akira Nakinshi, "Finite-Size Scaling in the Simple-Cubic Ising Model with Dipolar Interactions," J. Phys. Soc. Japan 57, 1508 (1988).
  41. R. Kretschmer and K. Binder, "Ordering and Phase Transitions in Ising Systems with Competing Short Range and Dipolar Interactions," Z. Phys. B 34, 375 (1979).
  42. George O. Zimmerman and A. K. Ibrahim, "Planar classical dipolar system on a honeycomb lattice," Phys. Rev. B 37, 2059 (1988).

Computer Simulation: General

  1. Kenneth G. Wilson, "Theoretical science in the coming decades," preprint.
  2. Anders Wallqvist, Bruce J. Berne, and Chani Pangali, "Exploiting physical parallelism using supercomputers," IEEE Computer May (1987).
  3. Alan H. Karp, Programming for parallelism," IEEE Computer May (1987).
  4. Jorge E. Hirsch and Douglas J. Scalapino, "Condensed matter physics," Phys. Today xx 1, May (1983).
  5. Donald R. Hamann, "Doing physics with computers," Phys. Today xx, 25, May (1983).
  6. Michael Creutz, "High energy physics," Phys. Today xx, 35, May (1983).
  7. Per Bak, "Doing physics with microcomputers," Phys. Today xx, 25, December (1983).
  8. Richard P. Feynman, "Simulating physics with computers," Int. J. Theor. Phys. 21, 467 (1982).
  9. Fred Gruenberger, "Computer Recreations," Sci. Amer. (19xx).
  10. R. von Balyz, W. Lehr, and M. Schmutz, "Use of microcomputers in theoretical physics courses: three examples," Eur. J. Phys. 9, 5 (1988).
  11. Peter J. Denning, "The Science of Computing," Amer. Sci. 77, 216 (1989).
  12. Frank R. Brown and Norman H. Christ, "Parallel supercomputers for lattice gauge theory," Science 239, 1393 (1988).
  13. W. G. Rees and C. Viney, "On cooling tea and coffee," Amer. J. Phys. 56, 434 (1988).
  14. David J. D. Earn, "Symplectic integration without roundoff error," in Ergodic Concepts in Stellar Dynamics, V. G. Gurzadyan and D. Pfenniger, eds., Springer-Verlag (1994). keywords: astronomy, lattice maps.
  15. Myron Lecar and Fred A. Franklin, "On the original distribution of the asteriods. 1," Icarus 20, 422-436 (1973).
  16. Renu Malhotra, "Nonlinear resonances in the solar system," Physica D 77, 289-304 (1994). keyword: Kirkwood gaps.
  17. M. J. Duncan and T. Quinn, "The long-time dynamical evolution of the solar system," Ann. Rev. Astron. Astrophys. 31, 265-95 (1993). request.
  18. Arthur W. Luerhrmann, "Orbits in the solar wind--a mini-research problem," Amer. J. Phys. 42, 361 (1974).
  19. LLoyd Motz, "The conservation principles and Kepler's laws of planetary motion," Amer. J. Phys. 43, 575 (1975).
  20. Andrea A. diSessa, "Orbit: a mini-environment for exploring orbital mechanics," Computers in Education, O. Lecarme and R. Lewis, eds, North-Holland (1975).
  21. Harold Abelson, Andrea A. diSessa, and Lee Rudolph, Velocity space and the geometry of planetary orbits" LOGO memo 15 (1974).
  22. Ian R. Gatland, "Numerical integration of Newton's equations including velocity-dependent forces," Amer. J. Phys. 62, 259 (1994).
  23. Alan Cromer, "Stable solutions using the Euler approximation," Amer. J. Phys. 49, 455 (1981).
  24. James H. Williams and Glenn Joyce, "Equilibrium properties of a one-dimensional kinetic system," J. Chem. Phys. 59, 741 (1973).
  25. John R. Merrill and Richard A. Morrow, "An introductory scattering by simulations," Amer. J. Phys. 38, 1104 (1970).
  26. Margaret Greenwood et al., Air resistance acting on a sphere: ...," Phys. Teacher xx, 153 March (1986).
  27. Ivars Peterson,"Space-time odyssey," Science News 137, 232 (1990). keyword: optics.
  28. Alfred Bork and Andres Zellweger, "Least action via computer," Amer. J. Phys. 37, 386 (1969).
  29. Alan Cromer, "The x3 oscillator," Phys. Teacher 30, 249 (1992).
  30. Tomoyuki Yamamoto and Kunihiko Kaneko, "Helium atom as a classical three-body problem," Phys. Rev. Lett. 70, 1928 (1993).
  31. Mark Peastrel, Rosemary Lynch, and Angelo Armenti, "Terminal velocity of a shuttlecock in vertical fall," Amer. J. Phys. 48, 511 (1980).
  32. S. Eubank, W. Miner, T. Tajima, and J. Wiley, "Interaction computer simulation and analysis of Newtonian dynmics," Amer. J. Phys. 57, 457 (1989).
  33. John B. McLaughlin, "Period-doubling bifurcations and chaotic motion for a parametrically forced pendulum," J. Stat. Phys. 24, 375 (1981).
  34. E. Fermi, J. Pasta, and S. Ulam, "Studies of nonlinear problems. 1," Lect. Appl. Math. 15, 143 (1974).
  35. B. I. Henry and J. Grindlay, "Numerical ensemble of ergodic properties of the quartic Fermi-Pasta-Ulam chain," Phys. Rev. A 38, 2594 (1988).
  36. D. Thirumalai and Raymond D. Mountain, "Probes of equipartition in nonlinear Hamiltonian systems," J. Stat. Phys. 57, 789 (1989).
  37. P. Bocchieri and F. Valz-Gris, "Ergodic properties of an anharmonic two-dimensional crystal," Phys. Rev. A 9, 1252 (19xx).
  38. J. L. Tuck and M. T. Menzel, "The superperiod of the nonlinear weighted string (FPU) problem," Adv. Math. 9, 399-407 (1972).
  39. Giancarlo Benettin, "A completely classical mechanism for the freeezing of the high frequency degrees of freedom."
  40. Giancarlo Benettin, Guido Lo Vecchio, and Alexander Tenenbaum, "Stochastic transition in two-dimensional Lennard-Jones systems," Phys. Rev. A 22, 1709 (1980).
  41. George Schmidt and Qi Chen, "Apparent transition to ergodicity in the autonomous Fermi system," Physica D 71, 18-22 (1994).
  42. Giancarlo Benettin and Alexander Tenenbaum, "Ordered and stochastic transition in a two-dimensional Lennard-Jones system," Phys. Rev. A 28, 3020 (1983).
  43. P. Bocchieri, A, Scotti, B. Bearzi, and A. Loinger, "Anharmonic chain with Lennard-Jones interaction," Phys. Rev. A 2, 2013 (1970).
  44. L. Galgani and G. Lo Vecchio, "Stochastic thresholds for systems of coupled oscillators," Nuovo Cimento 52 B,1 (1979).
  45. J. De Luca, A. J. Lichtenberg, and S. Ruffo, "Universal evolution to equipartion in oscillator chains," Phys. Rev. E 54, 2329 (1996). keyword: FPU.
  46. Lap Casetti, Monica Cerruti-Sola, Marco Pettini and E.G.D. Cohen, "The Fermi-Pasta-Ulam problem revisited," chao-dyn/9609017.
  47. Gregory B. Sorkin, "Ultrametricity in Q2R cellular automata," preprint (1986).
  48. Jay Martin Anderson, "Computer simulation in chemical kinetics," J. Chem. Educ. 53, 561 (1975).
  49. S. K. Dey, "Applications of microcomputers in computational fluid dynamics."
  50. Michael Vander Vorst et al., "Calculation of fluid flow over arbitrary shapes."
  51. P. Gray and S. K. Scott, "Sustained oscillations and other exotic patterns of behavior in isothermal reactions," J. Phys. Chem. 89, 22 (1985).
  52. John E. Pearson, "Complex patterns in a simple system," Science 261, 189 (1993).
  53. Bo Peng, Valery Petrov, and Kenneth Showalter, "Controlling chemical chaos," J. Phys. Chem. 95, 4957-4959 (1991).
  54. Valery Petrov, Michael J. Crowley, and Kenneth Showalter, "Tracking unstable periodic orbits in the Belousov-Zhabotinsky reaction," Phys. Rev. Lett. 72, 2955 (1994).
  55. R. J. Field and F. W. Schneider, "Oscillating chemical reactions and nonlinear dynamics," J. Chem. Educ. 66, 195 (1989).
  56. Jerzy Maselko and Irving R. Epstein, "Dynamical behavior of coupled chemical oscillators," J. Phys. Chem. 88, 305 (1984).
  57. Peter Ruoff and Richard M. Noyes, "An amplified oregonator model simulating alternative excitabilities, transitions in types of oscillations, and temporary instability in a closed system," J. Chem. Phys. 84, 1413 (1986).
  58. Richard J. Field and Horst Dieter Forsterling, "On the Oxybromine chemistry rate constants ...," J. Phys. Chem. 90, 5400-5407 (1986).
  59. Kedma Bar-Eli and Richard M. Noyes, "Relevance of a two-variable oregonator to stable and unstable steady states and limit cycles ...," J. Chem. Phys. 86, 1927 (1987).
  60. Richard M. Noyes, "Comparison of the Field-Koros-Noyes and Field-Forsterling parameterizations ...," J. Phys. Chem. 90, 5407 (1986).
  61. Earle S. Scott, Rodney Schreiner, Lee R. Sharpe, Bassam Z. Shakhashiri, and Glen E. Dirreen, "Oscillating chemical reactions," Chapter 7.
  62. Richard J. Field and Richard M. Noyes, "Oscilations in chemical systems. IV. limit cycle behavior ...," J. Chem. Phys. 60, 1977 (1974).
  63. Kenichi Yoshikaa et al., "Amusement with a salt water oscillator," J. Chem. Educ. 66, 205 (1989).
  64. R. I. Gibbs, Charles W. Beason, and James D. Beason, "Solutions to boundary value problems of the potential type by random walk method," Amer. J. Phys. 43, 782 (1975).
  65. Alexander A, Berezin, "Simple electrostatic model of the structural phase transition," Amer. J. Phys. 54, 403 (1986).
  66. F. J. Mulligan, "An illustration of the method of finite differences in the solution of Laplace's equation," Eur. J. Phys. 13, 57-63 (1992).
  67. Bruce I. Cohen and John Kileen, "Computations in plasma physics," Phys. Today, 54, May 91983).
  68. Donald P. Greenberg, "Light reflection models for computer graphics," Science 244, 166 (1989).
  69. A. Kinsella, "Numerical methods for error evaluation," Amer. J. Phys. 54, 464 (1986).
  70. John J. Hopfield and David W. Tank, "Computing with neural circuits: a model," Science 233, 625 (1986).
  71. J. J. Hopfield and D. W. Tank, "Neural computation of decisions in optimization problems," Bio. Cybern. 52, 1421-152 (1985).
  72. Geoffrey Fox et al., "Neural networks a dynamic complex systems," preprint.
  73. A. A. Harms and O. E. Hileman, "Chemical clocks, feedback, and nonlinear behavior," Amer. J. Phys. 53, 578 (2985).
  74. Eugenie V. Mielczarek, Jack S. Turner, Darryl Leiter, and Linda Davis, "Chemical clocks: experimental and theoretical models of nonlinear behavior," Amer. J. Phys. 51, 32 (1983).
  75. N. A. Dodd, "Computer simulation of diffraction patterns," Phys. Educ. 18, 294 (1983).

Computer Simulation book: Monte Carlo

  1. D. P. Landau and R. Alben, "Monte Carlo calculations as in teaching statistical mechanics," Amer. J. Phys. 41, 394 (1973).
  2. Shang-keng Ma, "Calculation of entropy from data of motion," J. Stat. Phys. 26, 221 (1981).
  3. James G. Berryman, "Random close packing of hard spheres and sisks," Phys. Rev. A 27, 1053 (1983).
  4. W. W. Wood, "Monte Carlo calculation for hard disks in the isothermal-isobaric ensemble," J. Chem. Phys. 48, 415 (1968).
  5. J. Kertesz, J. Cserti, and J. Szep, "Monte Carlo simulation programs for microcomputers," Eur. J. Phys. 6, 232 (1985).
  6. John R. Ray and H. W. Graben, "Direct calculation of fluctuation formulae in the microcanonical ensemble," Mol. Phys. 43, 1293 (1981).
  7. D. J. Adams, "Grand canonical ensemble Monte Carlo for a Lennard-Jones fluid," Mol. Phys. 29, 307-311 (1975).
  8. W. Schreiner and K. W. Kratky, "Finiteness effects in computer simulation of fluids with spherical boundary conditions," Mol. Phys. 50, 435 (1983).
  9. Mark Novotony, "The Monte Carlo method," lecture notes.
  10. John R. Ray, "Microcanonical ensemble Monte Carlo method," Phys. Rev. A 44, 4061 (1991).
  11. Eduardo Sanchez-Velasco, "Microcanonical simulation of first order phase transitions," Phys. Lett. A 147, 175 (1990).
  12. John R. Ray and H. W. Graben, "Small systems have non-maxwellian momentum distributions in the microcanonical ensemble," Mol. Phys. 43, 1293 (1981).
  13. Michael Creutz, "Microcanonical Monte Carlo simulation," Phys. Rev. Lett. 50, 1411 (1983).
  14. Gyan Bhanot, "Lattices, demons, and the microcanonical ensemble," preprint (1983).
  15. Jooyoung Lee and J. M. Kosterlitz, "New numerical method to study phase transitions," Phys. Rev. Lett. 65, 137 (1990).
  16. Kejian Ding and John P. Valleau, "Umbrella sampling realization of Widom chemical potentiial estimation," J. Chem. Phys. 98, 3306 (1993).
  17. Athanassios Z. Panagiotopoulos, "Direct determination of fluid phase equilibria by simulation in the Gibbs ensemble: a review," Mol. Sim. 9, 1-23 (1992).
  18. Athanassios Z. Panagiotopoulos, "Direct determination of phase coexistence of fluids by Monte Carlo simulation in a new ensemble," Mol. Phys. 61, 813-826 (1987).
  19. A. Z. Panagiotopoulos, N. Quirke, M. Stapleton, a D. J. Tildesley, "Phase equilibria by simulation in the Gibbs emsemble Alternative derivation, generalization and application to mixture and membrane equilibria, Mol. Phys. 63, 527-545 (1988).
  20. Mario Llano-Restrepo and Walter G. Chapman, "Bridge function and cavity correlation function for the Lennard-Jones fluid from simulation," J. Chem. Phys. 97, 2046 (1992).
  21. Jooyoung Lee. "New Monte Carlo algorithm: entropic algorithm," Phys. Rev. Lett. 71, 211 (1993).
  22. Alan M. Ferrenberg, D. P. Landau, and Robert H. Swendsen, "Statistical errors in histogram reweighting," Phys. Rev. E 51, 5092 (1995).
  23. Peter Bolhuis and Daan Frenkel, "Prediction of an expanded to condensed transition in colloidal crystals," Phys. Rev. Lett. 72, 2211 (1994). keyword: square well potential.
  24. Jae-Kwon Kim, "Application of finite size scaling to Monte Carlo simulations," Phys. Rev. Lett. 70, 1735 (1993).
  25. B. Derrida, A. J. Bray, and C. Godreche, "Nontrival exponents in the zero temperature dynamics of the 1D Ising and Potts models," J. Phys. A 27, L357-L361 (1994).
  26. Alan M. Ferrenberg, D. P. Landau, and P. Perczak, "Monte Carlo studies of magnetic critical phenomena using histogram techniques," J. Appl. Phys. 69, 6153 (1991).
  27. Alan M. Ferrenberg, D. P. Landau, and K. Binder, "Statistical and systematic errors in Monte Carlo sampling," J. Stat. Phys. 63, 867 (1991).
  28. S. Kirkpatrick, C. D. Gelatt, M. P. Vecchi, "Optimization by simulated annealing," Science 220, 671 (1983).
  29. Jooyoung Lee and M. Y. Choi, "Optimization by multicanonical annealing and the travelling salesman proble," preprint.
  30. Stephen Wolfram, "Computer software in science and mathematics," Sci. Amer.
  31. Kenneth G. Wilson, "Problems in physics with many scales of length," Sci. Amer.
  32. Kenneth G. Wilson, "The renormalization group and critical phenomena," Rev. Mod. Phys. 55, 583 (1983).
  33. M. J. Sablik, J. D. Winningham, and V. A. Blevins, "Finite difference simulation of two diverging electrostatic analyzers," Rev. Sci. Instrum. 56, 1727 (1985).
  34. J. D. Gunton, "Large scale computer studies in materials science," preprint.

Computer Simulation: Molecular Dynamics

  1. Loup Verlet, Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecule," Physics Review 159, 98 (1967).
  2. Aneesur Rahman, "Liquid Structure and Self-Diffusion," J. Chem. Phys. 45, 2585 (1966).
  3. H. J. C. Berendsen and W. F. van Gunsteren, "Molecular dynamics simulations: Techniques and approaches," Molecular Liquids, 475 (1984).
  4. Masakatsu Watanabe and William P. Reinhardt, "Direct Dynamical Calculation of Entropy and Free energy by Adiabatic Switching," Phys. Rev. Lett. 65, 3301 (1990).
  5. S. Ranganathan, G. S. Dubey and K. N. Pathak, "Molecular-dynamics study of two-dimensional Lennard-Jones Fluids," Phys. Rev. A 45, 5793 (1992).
  6. R. Vogelsang, G. Hoheisel and M. Luckas, "Shear viscosity and thermal conductivity of the Lennard-Jones liquid computed using molecular dynamics and predicted by a memory function model for a large number of states," Molecular Physics 64, 1203 (1988).
  7. Tze-jeng Hsu and Chung-Yuan Mou, "Molecular dynamics study of liquid-solid transition of dense lennard-Jones liquid," Molecular Physics 75, 1329 (1992).
  8. D. Fincham and D. M. Heyes, "Recent advances in Molecular-Dynamics computer simulation."
  9. Don E. Harrison, "Application of molecular dynamics simulations to the study of ion-bombarded metal surfaces," Critical Reviews in solid State and Materials Sciences 14, 81 (1988).
  10. J. P. Hansen, D. Levesque, and J. J. Weis, "Self-diffusion in the two-dimensional, classical electron gas," Phys. Rev. Lett. 43, 979 (1979). keyword: no Ewald summation.
  11. G. D. Venneri and William G. Hoover, "Simple exact test for well-known molecular dynamics algorithms," J. Comput. Phys. 73, 468 (1987).
  12. Hideo Kaburaki and Masahiko Machida, "Thermal conductivity in one-dimensional lattices of Fermi-Pasta-Ulam type," Phys. Letts. A 181, 85-90 (1985). keyword: FPU.
  13. Daniel N. Payton, Marvin RIch, and William M. Visscher, "Lattice thermal conductivity in disordered harmonic and anharmonic crystal models," Phys. Rev. 160, 160 (1967).
  14. M. E. Lumpkin, W. M. Saslow, and W. M. Visscher, "One-dimensional Kapitza conductance: Comparison of the phonon mismatch theory with computer experiments," Phys. Rev. B 17, 4293 (1978).
  15. Jerome J. Erpenbeck and William W. Wood, "Molecular dynamics techniques for hard core systems."
  16. Anne Simon Moffat, "Molecular dynamics and the modelers' art," Mosaic 22, 3 (1991).
  17. J. Gao and J. H. Weiner, "Simulated polymer melt stress relaxation. I. Plateau behavior," J. Chem. Phys. 103, 1614 (1995).
  18. J. Gao and J. H. Weiner, "Simulated polymer melt stress relaxation. II. Search for entanglements," J. Chem. Phys. 103, 1621 (1995).
  19. M. H. Shapiro and T. A. Tombrello, "Simulation of cluster impacts on metallic surfaces," Phys. Rev. Lett. 65, 92 (1990).
  20. M. L. Aiello-Nicosia and R. M. Sperandeo-Mineo, "Computer simulations of a two-dimensional ideal gas: a simple molecular dynamics method for teaching purposes," Eur. J. Phys. 6, 148-153 (1985).
  21. Shuichi Nose and M. L. Klein, "Constant pressure molecular dynamics for molecular systems," Mol. Phys. 50, 1055-1076 (1983).
  22. Shuichi Nose, Dynamical behavior of a thermostated isotropic harmonic oscillator," Phys. Rev. E 47, 164 (1993).
  23. S. Toxvaerd, "Molecular dynamics at constant temperature and pressure," Phys. Rev. E 47, 343 (1993).
  24. Denis J. Evans and G. P. Morriss, "The isothermal/isobaric molecular dynamics ensemble," Phys. lett. 98A, 433 (1983).
  25. Luis F. Rull, Juan J. Morales, and francisco Cuadros, "Isothermal molecular dynamics calculations," Phys. Rev. B 32, 6050 (1985).
  26. M. N. Ovchinnikov and V. A. Skrebnev, "Stochastic behavior in systems with a Lennard-Jones potential and only a few particles, JETP Lett. 54, 405 (1991). keyword: chaos.
  27. William G. Hoover, "Reversible mechanics and time's arrow," Phys. Rev. A 37, 252 (1988).
  28. H. A. Posch and W. G. Hoover, "Lyapunov instability of dense Lennard-Jones fluids," Phys. Rev. A 38, 473 (1988).

Computer Simulation: Random

  1. Knuth, Chapter 3, Random numbers
  2. Charles Whitney, "Linear congruential generators," Byte, October 1984, pg. 129.
  3. Chris Hohenemser, Notes on error analysis.
  4. I. Vattulainen, T. Ala-Nissila, and K. Kankaala, "Physical tests for random numbers in simulations," Phys. Rev. Lett. 73, 2513 (1994).
  5. Alan M. Ferrenberg, D. P. Landau, and Y. Johanna Wong, "Monte Carlo simulations: Hidden errors from "Good" random number generators," Phys. Rev. Lett. 69, 3382 (1992).
  6. A. Compagner, "Operational conditions for random-number generation," Phys. Rev. E 52, 5634 (1995).
  7. A. Compagner, "Well-tempered pseudorandom sequences as reliable sources of random numbers," preprint.
  8. George H. Weiss and Robert J. Rubin, "Random walks: Theory and selected applications," book chapter.
  9. Elliott W. Montroll, "Random walks on lattices containing traps," J. Phys. Soc. Japan Suppl. 26, 6 (1969).
  10. Sholomo Havlin, George H. Weiss, James E. Keifer, and Menachem Dishon, "Exact enumeration of random walks with traps," J. Phys. A 17, L347-L350 (1984).
  11. A. Blumen, G. Zumofen, and J. Klafter, "Transport aspects in anomalous diffusion: Levy walks," Phys. Rev. A 40, 3964 (19xx).
  12. Peter H. Verdier and W. H. Stockmayer, "Monte Carlo calculations on the dynamics of polymers in dilute solution," J. Chem. Phys. 36, 227 (1962).
  13. Marshall N. Rosenbluth and Arianna W. Rosenbluth, "Monte Carlo calculation on the average extension of molecular chains," J. Chem. Phys. 23, 356 (195xx).
  14. Panos Argyrakis and Raoul Kopelman, "Nearest-neighbor distance distributions and self-ordering in diffusion-controlled reaction. I. A + A simulations," Phys. Rev. A 41, 2114 (1990).
  15. Panos Argyrakis and Raoul Kopelman, "nearest-neighbor distance distributions and self-ordering in diffusion-controlled reaction. II. A + B simulations," Phys. Rev. A 41, 2121 (1990).
  16. L. Galfi and Z. Racz, "Properties of the reaction front in an A + B -> C type reaction-diffusion process," Phys. Rev. A 38, 3151 (1988).
  17. Z. Jiang and C. Ebner, "Simulation study of reaction fronts," Phys. Rev. A 42, 7483 (1990).
  18. Rosario Nunzio Mantegna, "Levy walks and enhanced diffusion in Milan stock exchange," Physica A 179, 232-242 (1991).
  19. Rosario Nunzio Mantegna, "Levy random walks in Milan stock exchange," book contribution.
  20. Wentian Li, "Absence of 1/f spectra in Dow Jones Daily Price (1990).
  21. R. Mark Bradley, Jean-Marc Debierre, and P. N. Strenski, "Anamalous scaling behavior in percolation with three colors," Phys. Rev. Lett. 68, 2332 (1992).
  22. C. Domb, E. Stoll, and T. Schneider, "Percolation clusters," Contem. Phys. 21, 577-592 (1980).
  23. J. W. Essam, "Percolation theory," (1980).
  24. Pierre Gilles de Gennes, "La percolation: un concept unificateur," (1976).
  25. J. Hoshen and R. Kopelman, "Percolation and cluster distribution. I. Cluster multiple labeling technique and critical concentration algorithm," Phys. Rev. B 14, 3438 (1976).
  26. B. P. Watson and P. L. Leath, "Conductivity in the two-dimensional site percolation problem," Phys. Rev. B 9, 4893 (1974).
  27. Lawrence S. Schulman and Philip E. Seiden, "Percolation and Galaxies," Science 233, 425 (1986).
  28. Mark Przyorowski and Mark van Woerkom, "Diffusion of many interacting random walkers on a three-dimensional lattice with a personal computer," Eur. J. Phys. 6, 242-244 (1985).
  29. Christopher L. Henley, "Critical Ising spin dynamics on percolation clusters," Phys. Rev. Lett. 54, 2030 (1985).
  30. Armin Bunde, Shlomo Havlin, Ralph Nossal, and H. Eugene Stanley, "Anomalous trapping," Phys. Rev. B 32, xxx (1985).
  31. Cettina Amitrano, Armin Bunde, and H. Eugene Stanley, "Diffusion of interacting particles on fractal aggregates," J. Phys. A 18, L923-L929 (1985).
  32. Marvin Bishop and Craig J. Saitiel, "Structure function of linear polymers in the ideal and excluded volume regime," J. Chem. Phys. 94, 6920 (1991).

Computer Simulation: Quantum Mechanics

  1. Donald G. Truhlar and Mark S. Gordon, "From Force Fields to Dynamics: Classical and Quantal Paths," Science 249, 491 (1990).
  2. Stephen M. Wandzura, "Semiclassically Based Monte Carlo Evaluation of Path Integrals," Phys. Rev. Lett. 57, 2603 (1986).
  3. Richard P. Feynman, "Tiny Computers Obeying Quantum Mechanical Laws" (1985).
  4. James J. O'Brien, "Comment on a paper by P. B. Visscher."
  5. Germana Peggion and James J. O'Brien, "An Explicit Finite-Fifference Scheme For Solving The Ocean Acoustic Parabolic Wave Equation," Comp. & Math. with Appls. 11, 937 (1985).
  6. L. R. Ram-Mohan, "The finite-element method for energy eigenvalues of quantum mechanical systems," Computers in Physics, 50 (Jan/Feb 1990).
  7. H. De Raedt, "Efficient Methods for Solving the Time-Dependent Schrodinger Equation: Application to Anderson Localization," Europhys. Lett. 3, 139 (1987).
  8. William H. Miller, "Semiclassical Methods in Chemical Physics," Science 233, 171 (1986).
  9. James E. Draper, "Use of |Y|2 and flux to simplify analysis of transmission past rectangular barriers or wells," Amer. J. Phys. 47, 525 (1979).
  10. R. D. Murphy and J. M. Philips, "Bound-state eigenvalues of the square-well potential," Amer. J. Phys. 44, 574 (1976).
  11. Mark H. Bramhall and Barry M. Casper, "Reflections on a Wave Packet Approach to quantum Mechanical Barrier Penetration," Amer. J. Phys. 38, 1136 (1970).
  12. Jay S. Bolemon, "Computer Solutions to a Realistic "One-Dimensional" Schrodinger Equation," Amer. J. Phys. 40, 1511 (1972).
  13. W. Williamson, Jr., "Monte Carlo simulation of nonrelativistic electron scattering," Amer. J. Phys. 54, 263 (1986).
  14. J. Shertzer, "Finite element calculation of low lying states of hydrogen in a superstrong magnetic field," Phys. Rev. A 40, 4777 (1989).
  15. Marko Robnik and Eberhard Schrufer, "Hydrogen atom in a strong magnetic field: calculation of the energy levels by quantising the normal form of the regularised Kepler Hamiltonian," J. Phys. A 18, L853 (1985).
  16. Jianshu Cao and B. J. Berne, "Low-temperature variational approximation for the Feynman quantum propagatior and its application to the simulation of quantum systems," J. Chem. Phys. 92, 7531 (1990).
  17. David Ceperley and Berni Alder, "Quantum Monte Carlo," Science 231, 555 (1986).
  18. James B. Anderson, "A random-walk simulation of the Schrodinger equation:H+3," J. Chem. Phys. 63, 1499 (1975).
  19. James B. Anderson, "Quantum chemistry by random walk. H 2P, H+3 D3h 1A'1, H2 3S+g, Be 1S," J. Chem. Phys. 65, 4121 (1976).
  20. James B. Anderson, "Quantum chemistry by random walk: Higher accuracy," J. Chem. Phys. 73, 3897 (1980).
  21. Peter J. Reynolds and David M. Ceperley, "Fixed-node quantum Monte Carlo for molecules," J. Chem. Phys. 77, 5593 (1982).
  22. P. J. Reynolds, R. N. Barnett, B. L. Hammond, and W. A. Lester, Jr., "Molecular Physics and Chemistry Applications of Quantum Monte Carlo," J. Stat. Phys. 43, 1017 (1986).
  23. Edward T. Gawlinski, "Monte Carlo Integration of Path Integrals." notes (1983).
  24. Philip D. Mannheim, "The physics behing path integrals in quantum mechanics," Amer. J. Phys. 51, 328 (1983).
  25. P. K. MacKeown, "Evaluation of Feynman path integrals by Monte Carlo methods," Amer. J. Phys. 53, 880 (1985).
  26. Summary of Quantum MC methods.
  27. J. A. Barker, "A quantum-statistical Monte Carlo method; path integrals with boundary conditions," J. Chem. Phys. 70, 2914 (1979).
  28. W. L. McMillan, "Ground State of Liquid He," Phys. Rev. 138, A442 (1964).

Computer Simulation: Cellular Automata

  1. Stephen Wolfram, "Statistical mechanics of cellular automata," Revs. Mod. Phys. 55, 601 (1983).
  2. J. M. Vianney A. Koelman, "Cellular-Automaton-Based Simulation of 2D Polymer Dynamics," Phys. Rev. Lett. 64, 1915 (1990).
  3. Martin Gerhardt, Heike Schuster, and John J. Tyson, "A Cellular Automaton Model of Excitable Media Including Curvature and Dispersion," Science 247, 1563 (1990).
  4. Brian Hayes, "Computer recreations the cellular automaton offers a model of the world and a world unto itself," Sci. Amer.
  5. Tommaso Toffoli, "CAM: A high-performance cellular-automaton machine," Physica 10D, 195 (1984).
  6. Gerard Y. Vichniac, "Simulating physics with cellular automata," Physica 10D, 96 (1984).
  7. A. K. Dewdney, "Computer recreations building computers in one dimension sheds light on irreducibly complicated phenomena," Sci. Amer.
  8. Li-Shi Lou, Hudong Chen, Shiyi Chen, Gary D. Doolen, and Yee-Chun Lee, "Generalized hydrodynamic trasport in lattice-gas automata," Phys. Rev. A 43, 7097 (1991).
  9. David Dab, Jean-Pierre Boon, and Yue-Xian Li, "Lattice-Gas Automata for Coupled Reaction-Diffusion Equations," Phys. Rev. Lett. 66, 2535 (1991).
  10. Raymond Kapral, Anna Lawniczak, and Paul Masiar, "Oscillations and Waves in a Reactive Lattice-Gas Automaton," Phys. Rev. Lett. 66, 2539 (1991).
  11. D. d'Humieres, P. Lallemand, and T. Shimomura, "Lattice gas cellular automata- a new experimental tool for hydrodynamics" (1985).
  12. Norman Margolus, Tommaso Toffoli, and Gerard Vichniac, "Cellular Automata Supercomputers for Fluid Dynamics Modeling" (1985).
  13. F. Wang and E. G. D. Cohen, "Numerical Results from Lorentz Lattice Gas Cellular Automata: A Mathematical Challenge," Physica D, 1986.
  14. U. Frisch, B. Hasslacher, and Y. Pomeau, "A lattice gas automata for the Navier Stokes equation" (1985).
  15. James B. Salem and Stephen Wolfram, "Thermodynamics and Hydrodynamics with Cellular Automata" 1985.
  16. Per Bak, Kan Chen, and Michael Creutz, "Self-organized criticality in the 'Game of Life'," Nature 342, 780 (1989).
  17. Charles Bennett, "'Life' not critical?" Nature 350, 468 (1991).
  18. L. S. Schulman and P. E. Seiden, "Statistical Mechanics of a Dynamical System Based on Conway's Game of Life," J. Stat. Phys. 19, 293 (1978).
  19. Stuart A. Kauffman and Robert G. Smith, "Adaptive automata based on darwinian selection," Physica 22D, 68 (1986).
  20. Christopher G. Langton, "Studying artificial life with cellular automata," Physica 22D, 120 (1986).
  21. Norman Morgolus, "CAM-8: a computer architecture based on cellular automata" (1993).
  22. Franco Celada and Philip Seiden, "Teaching immunology: a montessori approach using a computer model of the immune system."
  23. L. S. Schulman, Modelking Galaxies: Cellular Automata and Percolation (1993).
  24. R. B. Pandey, "Cellular automata approach to interacting cellular network models for the dynamics of cell population in an early HIV infection," Physica A 179, 442 (1991).
  25. Charles H. Bennett and G. Grinstein, "Role of Irreversibility in Stabalizing Complex and Nonergodic Behavior in Locally Interacting Discrete Systems," Phys. Rev. Lett. 55, 657 (1985).
  26. G. Grinstein and C. Jayaprakash and Yu He, "Statistical Mechanics of Probabilistic Cellular Automata," Phys. Rev. Lett. 55, 2527 (1985).
  27. Eric Goles and Gerard Y. Vichniac, "Invariants in automata networks."
  28. Gerard Y. Vichniac, "Cellular automata models of disorder and organization."
  29. A. K. Dewdney, Computer recreations- Sharks and fish wage an ecological war on the toroidal planet Wa-Tor," Sci. Amer.
  30. Gerard Y. Vichniac, "Taking the computer seriously in teaching science (an introduction to cellular automata)."
  31. S. Takesue, "Fourier's Law and the Green-Kubo Formula in a Cellular-Automaton Model," Phys. Rev. Lett. 64, 252 (1990).
  32. Stephen Wolfram, "Cellular Automaton Fluids 1: Basic Theory," 1986.
  33. Michael Creutz, "Microcanonical Monte Carlo Simulation," Phys. Rev. Lett. 50, 1411 (1983).
  34. Bruce M. Boghosian and C. David Levermore, "A Cellular Automaton for Burger's Equation" (1987).
  35. Gerard Y. Vichniac, "Learning physics with cellular automata."
  36. Stephen Wolfram, "Glider Gun Guidelines" 1985.
  37. Norman H. Packard, "Complexity of growing patterns in cellular automata."
  38. Stephen Wolfram, "Cellular automata as models of complexity," Nature 311, 419 (1984).
  39. Stephen Wolfram, "Cellular Automata and Condensed Matter Physics," 1985).
  40. Stephen Wolfram, "Preface," Physica 10D, vii (1984).

Computer Simulation: Fractals

  1. Stu Borman, "Fractals Offer Mathematical Tool for Study of Complex Chemical Systems," C&E News 69, 28 (1991).
  2. Mort La Brecque, "Fractals in Physics," Mosaic 18, 20 (1987).
  3. "Tomorrow's shapes," Economist, 99 (1987).
  4. Muhammad Sahimi and Hossein Rassamdana, "On Position-Space Renormalization Group Approach to Percolation," J. Stat. Phys. 78, 1157 (1995).
  5. Raphael H. Ko and Charles P. Bean, "A Simple Experiment that Demonstrates Fractal Behavior," Phys. Teacher xx, 78 (1991).
  6. Donald H. Esbenshade, Jr., "Fractal Bread," Phys. Teacher xx, 236 (1991).
  7. Sasuke Miyazima and H. Eugene Stanley, "Intersection of two fractal objects: Useful method of estimating the fractal dimension," Phys. Rev. B 35, 8898 (1987).
  8. L. Niemeyer, L. Pietronero and H. J. Wiesmann, "Fractal Dimension of Dielectric Breakdown," Phys. Rev. Lett. 52, 1033 (1984).
  9. Richard F. Voss, "Random fractals: characterization and measurement" (1985).
  10. "Fractal Fingers in Viscous Fluids," Science 228, 1077 (1985).
  11. L. Pietronero, A. Erzan and C. Evertsz, "Theory of Fractal Growth," Phys. Rev. Lett. 61, 861 (1988).
  12. David Wilkinson and Jorge F. Willemsen, "Invasion percolation: a new form of percolation theory," J. Phys. A 16, 3365 (1983).
  13. Toshiya Ohtsuki and Thomas Keyes, "Kinetic growth percolation: Epidemic processes with immunization," Phys. Rev. A 33, 1223 (1986).
  14. "Space Motion Sickness and the Fractal Heart," USRA, 1 (1992).
  15. J. Rosendahl, M. Vekic, and J. Kelley, "Persistent self-organization of sandpiles," Phys. Rev. E 47, 1401, (1993).
  16. James Theiler, "Scaling behavior of a directed sandpile automata with random defects," Phys. Rev. E 47, 733 (1993).
  17. David A. Noever, "Himalayan sandpiles," Phys. Rev. E 47, 724 (1993).
  18. Takashi Nagatani, "Multifractality of flow distribution in the river-network model of Scheidegger," Phys. Rev. E 47, 63 (1993).
  19. B. Fourcade and A. M. S Tremblay, "Amplitudes of Multifractal Moments at the Onset of Chaos: Universal Ratios and Crossover Functions," Phys. Rev. Lett. 64, 2659 (1990).
  20. Leo P. Kadanoff, "Fractals and multifractals in avalanche models," Physica D 38, 213 (1989).
  21. X. D. Shi, Michael P. Brenner and Sidney R. Nagel, "A Cascade of Structure in a Drop Falling from a Faucet."
  22. Chu-heng Liu and Sidney R. Nagel, " Sound in Sand," Phys. Rev. Lett. 68, 2301 (1992).
  23. James B. Knight, H. M. Jaeger, and Sidney R. Nagel, "Vibration-Induced Size Separation in Granular Media: The Convection Connection," Phys. Rev. Lett. 70, 3728 (1993).
  24. Robert L. Leheny and Sidney R. Nagel, "Model for the Evolution of River Networks," Phys. Rev. Lett. 71, 1470 (1993).
  25. B. T. Werner and D.T. Gillespie, "Fundamentally Discrete Stochastic Model for Wind Ripple Dynamics," Phys. Rev. Lett. 17, 3230 (1993).
  26. Giovani L. Vasconcelos, Maria de Sousa Vieira, and Sidney R. Nagel, "Implications of a conservation law for the distribution of earthquake sizes," pra44, R7869 (1991).
  27. Christopher L. Henley, "Statistics of a 'Self-Organized' Percolation Model," Phys. Rev. Lett. 71, 2741 (1993).
  28. Maria de Sousa Vieira, Giovani L. Vasconcelos, and Sidney R. Nagel, "Dynamics of spring-block models: Turning to criticality," Phys. Rev. E 47, R2221 (1993).
  29. A. Rinaldo, I. Rodriguez-Iturbe, R. Rigon, E. Ijjasz-Vasquez and R. L. Bras, "Self-Organized Fractal River Networks," Phys. Rev. Lett. 70, 822 (1993).
  30. J. M. Carlson, E. R. Grannan, C. Singh, and G. H. Swindle, "Fluctuations in Self-Organizing Systems."
  31. Stephen R. Brown, Christopher H. Scholz and John B. Rundle, "A simplified spring-block model of earthquakes," Geophysical Research Letters 18, 215 (1991).
  32. J. M. Carlson and J. S. Langer, "Mechanical model of an earthquake fault," Phys. Rev. A 40, 6470 (1989).
  33. J. M. Carlson, E. R. Grannan and G. H Swindle, "Self-orgainizing systems at finite driving rates," Phys. Rev. E 47, 93 (1993).
  34. R.C. Ball and R.M. Brady, "Large scale lattice effect in diffusion-limited aggregation," L809 (1985).
  35. Hajime Inaoka and Hideki Takayasu, "Water erosion as a fractal growth process," Phys. Rev. E 47, 899 (1993).
  36. Hiraku Nishimori and Noriyuki Ouchi, "Formation of Ripple Pattern and Dunes by Wind-Blown Sand," Phys. Rev. Lett. 71, 197 (1993).
  37. Britton Plourde, Franco Nori, and Michael Bretz, "Water Droplet Avalanches," Phys. Rev