Gibbs Measures of the Blume-Emery-Griffiths Model on the Cayley Tree

被引：1

作者：

Botirov, G. ^{[1
,3
]}

Haydarov, F. ^{[1
,2
]}

Qayumov, U. ^{[4
]}

机构：

[1] Inst Math, 9 Univ Str, Tashkent 100174, Uzbekistan

[2] AKFA Univ, Yangiobod QFY, Barkamol MFY, 264 Milliy Bog St, Tashkent 111221, Uzbekistan

[3] Univ Exact & Social Sci, Qizgaldoq Str 4, Tashkent, Uzbekistan

[4] Denau Inst Entrepreneurship & Pedag, Sh Rashidov St, Denau 360, Surkhandarya, Uzbekistan

来源：

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2023年 / 26卷 / 01期

关键词：

Cayley tree; Blume-Emery-Griffiths model; Gibbs measure; Translation invariant; POTTS-MODEL; TRANSLATION-INVARIANT;

D O I：

10.1007/s11040-023-09448-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the Blume-Emery-Griffiths model on Cayley trees. We reduce the problem of describing the splitting Gibbs measures of the Blume-Emery-Griffiths model to the description of the solutions of some algebraic equation. Also, we analyse the set of translation-invariant splitting Gibbs measures for a two parametric BEG model on Cayley trees.

引用

页数：12

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