Introduction:
Welcome to my homepage. I've just graduated from Clark University! My
majors were Math and Physics. Now
I'm studying at the Courant Institute of Mathematical Sciences at New York University, hoping to get a PhD in Mathematics.
Prior to coming to Clark in 1995, I studied at
Lester B. Pearson College of the Pacific in Canada. It's one of the ten
United World Colleges in the world, the objective of which is to promote
international peace and understanding. Before I went to Canada,
SuZhou is where I come from. See me.
Projects:
- Simulation of the Ising model, the Heisenberg model, and the Widom-Rowlinson model
using cluster algorithms. In cluster algorithms, we group certain particles or spins
together in clusters and do Monte Carlo updates for whole clusters at a time. In
contrast, the conventional Metropolis algorithm updates one spin or one particle
at a time. The significance of cluster algorithms lie in their ability to reduce
the effect of critical slowing down, which occur in any critical phenomena in real life and
simulation. For the 2D ising model on a square lattice, the known dynamical critical
exponent is z = 2.169, which indicates how the necessary time of computation increases
as a power of the increase in the system's linear dimension L. (i.e. time ~ L^z)
In the Swendsen-Wang and the Wolff algorithms, which are cluster algorithms, z is
reduced to less than 0.35. The Widom-Rowlinson model is a continuous model in the
sense that the particles' position occupy a continuous spectrum, and it can be regarded
as an extension of the Potts model. The cluster algorithm I am using is called
invaded cluster algorithm, proposed by Dr. John Machta at Amherst, U. Mass and Dr. Lincoln
Chayes at UCLA. My research advisor is Dr. Harvey
Gould, who studies glassy systems. To view some preliminary data, click
here.
- To improve my programming skills, learn some java, html, and latex.
- Aprender mas espanol. Habla usted espanol? Tengo un muy buen amigo de Panama,
y tomo espanol por tres semestres. Pero ya he olvidado mucho. De realidad,
olvido mas y mas cada dia.
Links:
News
Software
Books
Academics
email: rsun@physics.clarku.edu
