Cayley树上具有竞争相互作用的混合自旋ising模型的周期基态

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

Reports on Mathematical Physics Pub Date : 2023-06-01 DOI:10.1016/S0034-4877(23)00041-1

Farrukh Mukhamedov , Muzaffar M. Rahmatullaev, Dilshodbek O. EgAMOV

引用次数: 0

摘要

本文描述了二阶Cayley树上具有竞争相互作用的混合自旋Ising模型的平移不变基态和周期基态。讨论了混合自旋Ising模型的各种Gibbs测度的极限行为。

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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Periodic ground states for the mixed spin ising model with competing interactions on a Cayley tree

In the present paper, translation-invariant and periodic ground states are described for a mixed spin Ising model with competing interactions on the Cayley tree of order two. The limiting behaviour of various Gibbs measures of our mixed spin Ising model is discussed as well.

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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.