On the Uniqueness of Gibbs Measures for p-Adic Nonhomogeneous λ-Model on the Cayley Tree

被引：0

作者：

Murod Khamraev

Farruh Mukhamedov

Utkir Rozikov

机构：

[1] Institute of Mathematics,Department of Mechanics and Mathematics

[2] National University of Uzbekistan,undefined

[3] Vuzgorodok,undefined

[4] Institute of Mathematics,undefined

来源：

Letters in Mathematical Physics | 2004年 / 70卷

关键词：

Cayley tree; Gibbs measure; Ising model; λ-model; -adic field;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a nearest-neighbor p-adic ł-model with spin values ±1 on a Cayley tree of order k≥ 1. We prove for the model there is no phase transition and as well as being unique, the p-adic Gibbs measure is bounded if and only if p≥ 3. If p=2, then we find a condition which guarantees the nonexistence of a phase transition. Besides, the results are applied to the p-adic Ising model and we show that for the model there is a unique p-adic Gibbs measure.

引用

页码：17 / 28

页数：11

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