A p-Adic Generalized Gibbs Measure for the Ising Model on a Cayley Tree

被引：12

作者：

Rahmatullaev, M. M. ^{[1
,2
]}

Khakimov, O. N. ^{[2
]}

Tukhtaboev, A. M. ^{[3
]}

机构：

[1] Namangan State Univ, Namangan, Uzbekistan

[2] Inst Math, Tashkent, Uzbekistan

[3] Namangan Construct Inst, Namangan, Uzbekistan

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2019年 / 201卷 / 01期

关键词：

p-adic number; Ising model; Gibbs measure; phase transition; STATE POTTS-MODEL; HARD-CORE MODEL; LAMBDA-MODEL; UNIQUENESS;

D O I：

10.1134/S004057791910009X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a p-adic Ising model on the Cayley tree of order k >= 2. We completely describe all p-adic-translation-invariant generalized Gibbs measures for k = 3. Moreover, we show the existence of a phase transition for the p-adic Ising model for any k >= 3 if p equivalent to 1 (mod 4).

引用

页码：1521 / 1530

页数：10

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