EXTREMALITY OF TRANSLATION-INVARIANT GIBBS MEASURES FOR THE λ-MODEL ON THE BINARY CAYLEY TREE

被引：0

作者：

Mukhamedov, F. M. ^{[1
,2
]}

Rahmatullaev, M. M. ^{[2
,3
]}

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

机构：

[1] United Arab Emirates Univ, Coll Sci, Dept Math Sci, Abu Dhabi, U Arab Emirates

[2] Acad Sci Uzbek, Romanovskiy Inst Math, Tashkent, Uzbekistan

[3] Namangan State Univ, Namangan, Uzbekistan

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2022年 / 210卷 / 03期

关键词：

phase transition; extremality; Gibbs measure; POTTS-MODEL; 3; STATES; PHASE;

D O I：

10.1134/S0040577922030114

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the lambda-model on the Cayley tree of order k = 2. Under some conditions, we study translation-invariant Gibbs measures. Moreover, we investigate whether these Gibbs measures are extremal or non-extremal in the set of all Gibbs measures.

引用

页码：411 / 424

页数：14

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