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)
@article{2012arXiv1210.6116K,
author={Komura}, Y. and {Okabe}, Y.},
title={"{Large-scale Monte Carlo simulation of two-dimensional classical XY model using multiple GPUs}"},
journal={ArXiv e-prints},
archivePrefix={"arXiv"},
eprint={1210.6116},
primaryClass={"cond-mat.stat-mech"},
keywords={Condensed Matter – Statistical Mechanics},
year={2012},
month={oct},
adsurl={http://adsabs.harvard.edu/abs/2012arXiv1210.6116K},
adsnote={Provided by the SAO/NASA Astrophysics Data System}
}
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
