Large-Scale Monte Carlo Simulation of Two-Dimensional Classical XY Model Using Multiple GPUs
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概要
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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_{\text{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.
- 2012-11-15
著者
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Okabe Yutaka
Department Of Applied Chemistry Science And Engineering Waseda University
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Komura Yukihiro
Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan
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Okabe Yutaka
Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan
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