On the Constructive Description of Gibbs Measures for the Potts Model on a Cayley Tree

被引：0

作者：

M. M. Rahmatullaev

F. K. Rafikov

Sh. Kh. Azamov

机构：

[1] Uzbekistan Academy of Sciences,V. Romanovskii Institute of Mathematics

[2] Kokand State Pedagogic University,undefined

来源：

Ukrainian Mathematical Journal | 2021年 / 73卷

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摘要：

We consider the Potts model on a Cayley tree and prove the existence of Gibbs measures constructed by the method proposed in [H. Akin, U. A. Rozikov, and S. Temir, J. Stat. Phys., 142, 314 (2011)]. In addition, we prove that there exist (k0)-translation invariant Gibbs measures for the Potts model on a Cayley tree and compute the free energy of these Gibbs measures.

引用

页码：1092 / 1106

页数：14

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