Gradient Gibbs measures of an SOS model with alternating magnetism on Cayley trees

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

Reports on Mathematical Physics Pub Date : 2023-12-30 DOI:10.1016/s0034-4877(23)00082-4

N.N. Ganikhodjaev, N.M. Khatamov, U.A. Rozikov

引用次数: 0

Abstract

The work is devoted to gradient Gibbs measures (GGMs) of an SOS model with countable set $Z$ of spin values and having alternating magnetism on Cayley trees. This model is defined by a nearest-neighbour gradient interaction potential. Using Külske-Schriever argument, based on boundary law equations, we give several q-height-periodic translations invariant GGMs for q = 2, 3, 4.

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具有交替磁性的 SOS 模型在 Cayley 树上的梯度吉布斯度量

这项工作致力于研究一个自旋值可数集 Z 的 SOS 模型的梯度吉布斯量（GGMs），该模型在 Cayley 树上具有交替磁性。该模型由近邻梯度相互作用势定义。利用基于边界法方程的库尔斯克-施里弗（Külske-Schriever）论证，我们给出了 q = 2、3、4 时的 q 高度周期平移不变 GGM。

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.