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n 分量欧拉面心立方模型的类伊辛相变。

Ising-like phase transition of an n-component Eulerian face-cubic model.

作者信息

Ding Chengxiang, Guo Wenan, Deng Youjin

机构信息

Department of Applied Physics, Anhui University of Technology, Maanshan 243002, China.

Physics Department, Beijing Normal University, Beijing 100875, China.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Nov;88(5):052125. doi: 10.1103/PhysRevE.88.052125. Epub 2013 Nov 20.

Abstract

By means of Monte Carlo simulations and a finite-size scaling analysis, we find a critical line of an n-component Eulerian face-cubic model on the square lattice and the simple cubic lattice in the region v>1, where v is the bond weight. The phase transition belongs to the Ising universality class independent of n. The critical properties of the phase transition can also be captured by the percolation of the complement of the Eulerian graph.

摘要

通过蒙特卡罗模拟和有限尺寸标度分析,我们在键权重(v>1)的区域中,找到了正方形晶格和简单立方晶格上(n)分量欧拉面立方模型的一条临界线。该相变属于与(n)无关的伊辛普适类。该相变的临界性质也可以通过欧拉图补图的渗流来描述。

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