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Large-scale Monte Carlo simulation of two-dimensional classical XY model using multiple GPUs

Yukihiro Komura, Yutaka Okabe
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}

}

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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.
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