Translation Invariance of the Periodic Gibbs Measures for the Potts Model on the Cayley Tree

被引：7

作者：

Khakimov, R. M. ^{[1
]}

Makhammadaliev, M. T. ^{[1
]}

机构：

[1] Namangan State Univ, Namangan, Uzbekistan

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2019年 / 199卷 / 02期

关键词：

Cayley tree; configuration; Potts model; Gibbs measure; periodic measure; translation-invariant measure;

D O I：

10.1134/S004057791905009X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the Potts model with a zero external field on the Cayley tree. For the antiferromagnetic Potts model with q states on a second-order Cayley tree and for the ferromagnetic Potts model with q states on a kth-order Cayley tree, we show that all periodic Gibbs measures are translation-invariant for all parameter values.

引用

页码：726 / 735

页数：10

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