Large-scale Monte Carlo simulation of two-dimensional classical XY model using multiple GPUs
Statistical Mechanics
2012-10-24 v1
Abstract
We study the two-dimensional classical XY model by the large-scale Monte Carlo simulation of the Swendsen-Wang multi-cluster algorithm using multiple GPUs on the open science supercomputer TSUBAME 2.0. Simulating systems up to the linear system size L=65536, we investigate the Kosterlitz-Thouless (KT) transition. Using the generalized version of the probability-changing cluster algorithm based on the helicity modulus, we locate the KT transition temperature in a self-adapted way. The obtained inverse KT temperature \beta_{KT} is 1.11996(6). We estimate the exponent to specify the multiplicative logarithmic correction, -2r, and precisely reproduce the theoretical prediction -2r=1/8.
Cite
@article{arxiv.1210.6116,
title = {Large-scale Monte Carlo simulation of two-dimensional classical XY model using multiple GPUs},
author = {Yukihiro Komura and Yutaka Okabe},
journal= {arXiv preprint arXiv:1210.6116},
year = {2012}
}