Extremality of Gibbs Measures for the HC-Blume-Capel Model on the Cayley Tree

被引：0

作者：

Khatamov, N. M. ^{[1
]}

机构：

[1] Natl Univ Uzbekistan, Dept Math, Tashkent 100174, Uzbekistan

来源：

MATHEMATICAL NOTES | 2022年 / 111卷 / 5-6期

关键词：

Cayley tree; configuration; HC-Blume-Capel model; Gibbs measure; translation-invariant measures; extremal measure; HARD-CORE MODELS;

D O I：

10.1134/S000143462205011X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider translation-invariant Gibbs measures (TIGMs) for the HC-Blume-Capel model in case of "wands" with chemical potential with parameters (theta, eta) on the Cayley tree. It is proved that, for eta <= theta(3), there is a unique TIGM and, for eta > theta(3), there are exactly three TIGMs in the case of "wands" with chemical potential for the model under consideration. In addition, the problem of the (non)extremality of these measures is studied.

引用

页码：768 / 781

页数：14

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