Constructive Gibbs measures for the Ising model on the Cayley tree

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

Reports on Mathematical Physics Pub Date : 2024-06-01 DOI:10.1016/S0034-4877(24)00043-0

Muzaffar M. Rahmatullaev, Zulxumor A. Burxonova

引用次数: 0

Abstract

In the present paper, we construct new Gibbs measures for the Ising model on the Cayley tree of order two. Moreover, we find the free energy corresponding to the found measures and compare it with the known ones.

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Cayley 树上伊辛模型的构造吉布斯度量

在本文中，我们在二阶 Cayley 树上为 Ising 模型构建了新的 Gibbs 度量。此外，我们还找到了与所发现的度量相对应的自由能，并将其与已知的自由能进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.