Localization of translation-invariant Gibbs measures for the Potts and “solid-on-solid” models on a Cayley tree

被引：0
|
作者：
R. M. Khakimov
机构：
[1] Namangan State University,
来源：
Theoretical and Mathematical Physics | 2014年 / 179卷
关键词：
Cayley tree; configuration; Gibbs measure; Potts model; “solid-on-solid” model; periodic measure; translation-invariant measure;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study Potts and “solid-on-solid” models with q ≥ 2 states on the Cayley tree of order k ≥ 1. For any values of the parameter q in the Potts model and q ≤ 6 in the “solid-on-solid” model, we find sets containing all translation-invariant Gibbs measures.
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页码：405 / 415
页数：10
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