On HA-Weakly Periodic P-Adic Generalized Gibbs Measures of P-Adic Ising Model with an External Field on a Cayley Tree

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Reports on Mathematical Physics Pub Date : 2025-02-01 DOI:10.1016/S0034-4877(25)00012-6

Muzaffar M. Rahmatullaev, Zulxumor T. Abdukaxorova

引用次数: 0

Abstract

In the present paper, we investigate weakly periodic p-adic generalized Gibbs measures for p-adic Ising model with an external field on the Cayley tree of order two. For a normal subgroup of the group representation of the Cayley tree we prove that there exists at least one unbounded weakly periodic (in particular, nonperiodic) p-adic generalized Gibbs measures for this model. Moreover, we show that if p is any odd prime then a phase transition occurs, if p = 2 then a quasi phase transition occurs for p-adic Ising model with an external field.

查看原文本刊更多论文

Cayley树上带外域的p进Ising模型的ha -弱周期p进广义Gibbs测度

本文研究了二阶Cayley树上带外场的p进Ising模型的弱周期p进广义Gibbs测度。对于Cayley树群表示的正规子群，证明了该模型存在至少一个无界弱周期（特别是非周期）p进广义Gibbs测度。此外，我们还证明了对于带外场的p进Ising模型，如果p是任意奇素数则会发生相变，如果p = 2则会发生拟相变。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.