Gibbs Measures of the Blume-Emery-Griffiths Model on the Cayley Tree

被引：1
|
作者：
Botirov, G. [1 ,3 ]
Haydarov, F. [1 ,2 ]
Qayumov, U. [4 ]
机构：
[1] Inst Math, 9 Univ Str, Tashkent 100174, Uzbekistan
[2] AKFA Univ, Yangiobod QFY, Barkamol MFY, 264 Milliy Bog St, Tashkent 111221, Uzbekistan
[3] Univ Exact & Social Sci, Qizgaldoq Str 4, Tashkent, Uzbekistan
[4] Denau Inst Entrepreneurship & Pedag, Sh Rashidov St, Denau 360, Surkhandarya, Uzbekistan
来源：
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2023年 / 26卷 / 01期
关键词：
Cayley tree; Blume-Emery-Griffiths model; Gibbs measure; Translation invariant; POTTS-MODEL; TRANSLATION-INVARIANT;
D O I：
10.1007/s11040-023-09448-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the Blume-Emery-Griffiths model on Cayley trees. We reduce the problem of describing the splitting Gibbs measures of the Blume-Emery-Griffiths model to the description of the solutions of some algebraic equation. Also, we analyse the set of translation-invariant splitting Gibbs measures for a two parametric BEG model on Cayley trees.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] Gibbs Measures of the Blume–Emery–Griffiths Model on the Cayley Tree
    G. Botirov
    F. Haydarov
    U. Qayumov
    Mathematical Physics, Analysis and Geometry, 2023, 26
  • [2] FERROMAGNETISM IN THE BLUME-EMERY-GRIFFITHS MODEL ON FINITE-SIZE CAYLEY TREE
    Chen, Wen-Jun
    Kong, Xiang-Mu
    MODERN PHYSICS LETTERS B, 2011, 25 (06): : 385 - 390
  • [3] An exact formulation of the Blume-Emery-Griffiths model on a two-fold Cayley tree model
    E. Albayrak
    M. Keskin
    The European Physical Journal B - Condensed Matter and Complex Systems, 2001, 24 : 505 - 510
  • [4] An exact formulation of the Blume-Emery-Griffiths model on a two-fold Cayley tree model
    Albayrak, E
    Keskin, M
    EUROPEAN PHYSICAL JOURNAL B, 2001, 24 (04): : 505 - 510
  • [5] Frustrated Blume-Emery-Griffiths model
    G.R. Schreiber
    The European Physical Journal B - Condensed Matter and Complex Systems, 1999, 9 : 479 - 490
  • [6] Frustrated Blume-Emery-Griffiths model
    Schreiber, GR
    EUROPEAN PHYSICAL JOURNAL B, 1999, 9 (03): : 479 - 490
  • [7] The dynamics of the Blume-Emery-Griffiths model
    Pigorsch, C
    Schulz, M
    Trimper, S
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2001, 15 (02): : 135 - 155
  • [8] Blume-Emery-Griffiths model on random graphs
    Erichsen, R.
    Silveira, Alexandre
    Magalhaes, S. G.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2023, 614
  • [9] Rates of Convergence in the Blume-Emery-Griffiths Model
    Eichelsbacher, Peter
    Martschink, Bastian
    JOURNAL OF STATISTICAL PHYSICS, 2014, 154 (06) : 1483 - 1507
  • [10] CUMULANT FORMALISM FOR THE BLUME-EMERY-GRIFFITHS MODEL
    CHAKRABORTY, KG
    JOURNAL OF PHYSICS-CONDENSED MATTER, 1992, 4 (21) : 4997 - 5000
12345