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

被引：0
|
作者：
G. Botirov
F. Haydarov
U. Qayumov
机构：
[1] Institute of Mathematics,
[2] AKFA University,undefined
[3] University of Exact and Social Sciences,undefined
[4] The Denau Institute of Entrepreneurship and Pedagogy,undefined
来源：
Mathematical Physics, Analysis and Geometry | 2023年 / 26卷
关键词：
Cayley tree; Blume–Emery–Griffiths model; Gibbs measure; Translation invariant; 82B20; 82B26; 60K35;
D O I：
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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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