TRANSLATION-INVARIANT EXTREME GIBBS MEASURES FOR THE BLUME-CAPEL MODEL WITHWAND ON A CAYLEY TREE

被引：6

作者：

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

机构：

[1] Namangan State Univ, Namangan, Uzbekistan

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2020年 / 72卷 / 04期

关键词：

POTTS-MODEL;

D O I：

10.1007/s11253-020-01804-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study translation-invariant Gibbs measures for the Blume-Capel model with wand on a Cayley tree of order k. We find the exact critical value theta(cr) = 1 such that, for. >=. cr, there exists a unique translation-invariant Gibbs measure and, for 0 < theta < theta(cr), there are exactly three translation-invariant Gibbs measures in the presence of a wand in the analyzed model. In addition, we study the problem of (no) extremes for these measures.

引用

页码：623 / 641

页数：19

共 20 条

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