Large-scale Monte Carlo simulation of two-dimensional classical XY model using multiple GPUs
Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan
J. Phys. Soc. Jpn. 81, 113001, 2012; arXiv:1210.6116 [cond-mat.stat-mech] (23 Oct 2012)
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.
October 24, 2012 by hgpu
