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阿基米德格子上多数表决模型中的相变。

Phase transition in the majority-vote model on the Archimedean lattices.

机构信息

Department of Physics and Photon Science, Gwangju Institute of Science and Technology, Gwangju 61005, South Korea.

出版信息

Phys Rev E. 2017 Jan;95(1-1):012101. doi: 10.1103/PhysRevE.95.012101. Epub 2017 Jan 3.

Abstract

The majority-vote model with noise was studied on the 11 Archimedean lattices by the Monte Carlo method and finite-size scaling. The critical noises and critical exponents were obtained with precision. Contrary to some previous reports, we confirmed that the majority-vote model on the Archimedean lattices belongs to the two-dimensional Ising universality class. It was shown that very precise determination of the critical noise is required to obtain proper values of the critical exponents.

摘要

采用蒙特卡罗方法和有限尺寸标度研究了噪声下的多数表决模型在 11 个阿基米德格子上的性质。我们精确地得到了临界噪声和临界指数。与之前的一些报道相反,我们证实了阿基米德格子上的多数表决模型属于二维伊辛 universality class。结果表明,非常精确地确定临界噪声对于得到恰当的临界指数值是必需的。

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