A Manifold of Pure Gibbs States of the Ising Model on a Cayley Tree

被引:0
|
作者
Daniel Gandolfo
Jean Ruiz
Senya Shlosman
机构
[1] Aix-Marseille Univ,Centre de Physique Théorique
[2] CNRS UMR 7332,Inst. of the Information Transmission Problems
[3] Univ Sud Toulon Var,undefined
[4] RAS,undefined
来源
关键词
Ising model; Cayley tree; Gibbs states;
D O I
暂无
中图分类号
学科分类号
摘要
We study the Ising model on a Cayley tree. A wide class of new extreme Gibbs states is exhibited.
引用
收藏
页码:999 / 1005
页数:6
相关论文
共 50 条
  • [1] A Manifold of Pure Gibbs States of the Ising Model on a Cayley Tree
    Gandolfo, Daniel
    Ruiz, Jean
    Shlosman, Senya
    JOURNAL OF STATISTICAL PHYSICS, 2012, 148 (06) : 999 - 1005
  • [2] A Manifold of Pure Gibbs States of the Ising Model on the Lobachevsky Plane
    Daniel Gandolfo
    Jean Ruiz
    Senya Shlosman
    Communications in Mathematical Physics, 2015, 334 : 313 - 330
  • [3] A Manifold of Pure Gibbs States of the Ising Model on the Lobachevsky Plane
    Gandolfo, Daniel
    Ruiz, Jean
    Shlosman, Senya
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 334 (01) : 313 - 330
  • [4] CONSTRUCTIVE GIBBS MEASURES FOR THE ISING MODEL ON THE CAYLEY TREE
    Rahmatullaev, Muzaffar m.
    Burxonova, Zulxumor a.
    REPORTS ON MATHEMATICAL PHYSICS, 2024, 93 (03) : 361 - 370
  • [5] Countably periodic Gibbs measures of the Ising model on the Cayley tree
    Rozikov, UA
    THEORETICAL AND MATHEMATICAL PHYSICS, 2002, 130 (01) : 92 - 100
  • [6] Countably Periodic Gibbs Measures of the Ising Model on the Cayley Tree
    U. A. Rozikov
    Theoretical and Mathematical Physics, 2001, 130 : 92 - 100
  • [7] Ground States and Gibbs Measures of Ising Model with Competing Interactions and an External Field on a Cayley Tree
    Rahmatullaev, Muzaffar M.
    Rasulova, Muhayyo A.
    Asqarov, Javohir N.
    JOURNAL OF STATISTICAL PHYSICS, 2023, 190 (07)
  • [8] Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree
    Rozikov, U. A.
    Rakhmatullaev, M. M.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2009, 160 (03) : 1292 - 1300
  • [9] Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree
    U. A. Rozikov
    M. M. Rakhmatullaev
    Theoretical and Mathematical Physics, 2009, 160 : 1292 - 1300
  • [10] Ground States and Gibbs Measures of Ising Model with Competing Interactions and an External Field on a Cayley Tree
    Muzaffar M. Rahmatullaev
    Muhayyo A. Rasulova
    Javohir N. Asqarov
    Journal of Statistical Physics, 190