Translation-invariant Gibbs measures for fertile three-state “hard core” models on a Cayley tree

被引：0
|
作者：
R. M. Khakimov
机构：
[1] National University of Uzbekistan,Institute for Mathematics
来源：
Theoretical and Mathematical Physics | 2015年 / 183卷
关键词：
Cayley tree; configuration; hard core model; Gibbs measure; translation-invariant measure;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider fertile three-state “hard core” models with the activity parameter λ > 0 on an order-three Cayley tree. It is known that there exist four types of such models: in two of them, the translation-invariant Gibbs measure is unique for λ > 0, and in the other two, a value λcr is found such that there exist only three translation-invariant Gibbs measures for λ > λcr and a single translation-invariant Gibbs measure for λ ≤ λcr.
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页码：829 / 835
页数：6
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