GRADIENT GIBBS MEASURES OF AN SOS MODEL WITH ALTERNATING MAGNETISM ON CAYLEY TREES

被引：0

作者：

Ganikhodjaev, N. N. ^{[1
]}

Khatamov, N. M. ^{[1
]}

Rozikov, U. A. ^{[1
,2
,3
]}

机构：

[1] VI Romanovskiy Inst Math, 9 Univ str, Tashkent 100174, Uzbekistan

[2] Cent Asian Univ, 264 Milliy Bog St, Tashkent 111221, Uzbekistan

[3] Natl Univ Uzbekistan, 4 Univ Str, Tashkent 100174, Uzbekistan

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2023年 / 92卷 / 03期

关键词：

SOS model; configuration; Cayley tree; Gibbs measure; gradient Gibbs measures; boundary law; COEXISTENCE;

D O I：

10.1016/S0034-4877(23)00082-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 Kulske-Schriever argument, based on boundary law equations, we give several q-height-periodic translations invariant GGMs for q = 2, 3, 4.

引用

页码：309 / 322

页数：14

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