On G2-Periodic Quasi Gibbs Measures of p-Adic Potts Model on a Cayley Tree

被引：0

作者：

Tukhtabaev, Akbarkhuja ^{[1
]}

机构：

[1] Namangan State Univ, POB 160136,316 Uychi St, Namangan, Uzbekistan

来源：

P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS | 2021年 / 13卷 / 04期

关键词：

p-adic numbers; Potts model; p-adic quasi Gibbs measure; periodic; translation-invariant; ART Gibbs measure; HARD-CORE MODEL; ISING-MODEL; EXISTENCE;

D O I：

10.1134/S207004662104004X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper we study G(2)-periodic p-adic quasi Gibbs measures for p-adic Potts model on a Cayley tree of order two. In the case q = 3, we prove the occurrence of a phase transition and construct ART quasi Gibbs measures for p-adic Potts model on a Cayley tree of order k >= 3.

引用

页码：291 / 307

页数：17

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