Cayley 树上 Potts 模型的弱周期 p-adic 准吉布斯量度

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2024-11-05 DOI:10.1007/s11005-024-01872-2

Muzaffar Rahmatullaev, Akbarkhuja Tukhtabaev, Nurkhon Samijonova

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引用次数: 0

摘要

本文研究了二阶 Cayley 树上三态 Potts 模型的弱周期 p-adic 准吉布斯量纲。在一些条件下，我们证明存在 14 个弱周期（非周期性）p-adic 准吉布斯量。此外，如果 \(p=3\)，那么该模型存在 6 个弱周期 p-adic 准吉布斯量。我们还证明，如果\(pne 3\) 那么波茨模型在二阶卡莱树上会发生相变。

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Weakly periodic p-adic quasi-Gibbs measures for the Potts model on a Cayley tree

In the present paper, we study the weakly periodic p-adic quasi-Gibbs measures for the three-state Potts model on a Cayley tree of order two. Under some conditions, we show there exist 14 weakly periodic (non-periodic) p-adic quasi-Gibbs measures. Moreover, if \(p=3\) then there are six weakly periodic p-adic Gibbs measures for this model. We also prove that if \(p\ne 3\) then a phase transition occurs for the Potts model on a Cayley tree of order two.

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.