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.
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页数：12
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