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

Yukihiro Komura; Yutaka Okabe

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

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arxiv 1210.6116 v1 pith:22ZLHUDV submitted 2012-10-23 cond-mat.stat-mech

Yukihiro Komura , Yutaka Okabe This is my paper · ORCID

classification cond-mat.stat-mech

keywords algorithmcarloclassicalgpuslarge-scalemodelmontemultiple

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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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Long-Range Order in a Strictly Short-Range Quasi-2D XY Model: When Critical Fluctuations Matter
cond-mat.stat-mech 2025-06 conditional novelty 8.0 of 10

In a strictly short-range XY model made of a plane intersected by parallel planes, true long-range order appears along the intersection lines when the parallel planes enter a Berezinskii-Kosterlitz-Thouless critical phase.

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