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28 March 2024
 
  » arxiv » 1210.6116

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Large-scale Monte Carlo simulation of two-dimensional classical XY model using multiple GPUs
Yukihiro Komura ; Yutaka Okabe ;
Date 23 Oct 2012
AbstractWe 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 eta_{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.
Source arXiv, 1210.6116
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