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;
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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.
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页码：17 / 28
页数：11
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