Spherical analogues of some non-Ising spin glass models: Exact solutions

被引:0
|
作者
E. E. Tareyeva
机构
[1] RAS,Institute for High Pressure Physics
来源
关键词
spin glass; spherical approximation; exact solution;
D O I
暂无
中图分类号
学科分类号
摘要
We consider several models of non-Ising spin glass for which we can naturally formulate an analogue of spherical conditions well known for the Ising model. We calculate the partition functions of the obtained models exactly. The random matrix method and the replica method yield identical results.
引用
收藏
页码:1358 / 1364
页数:6
相关论文
共 50 条
  • [21] Nonequilibrium relaxation study of Ising spin glass models
    Ozeki, Y
    Ito, N
    PHYSICAL REVIEW B, 2001, 64 (02):
  • [22] Exact algorithm for sampling the two-dimensional Ising spin glass
    Thomas, Creighton K.
    Middleton, A. Alan
    PHYSICAL REVIEW E, 2009, 80 (04):
  • [23] A RECURSIVE BRANCH-AND-BOUND ALGORITHM FOR THE EXACT GROUND-STATE OF ISING SPIN-GLASS MODELS
    HARTWIG, A
    DASKE, F
    KOBE, S
    COMPUTER PHYSICS COMMUNICATIONS, 1984, 32 (02) : 133 - 138
  • [24] KINETIC ISING-MODEL - SOME EXACT-SOLUTIONS
    BOSCO, E
    RANGARAJAN, SK
    PHYSICS LETTERS A, 1982, 88 (07) : 375 - 378
  • [25] Exact solutions to plaquette Ising models with free and periodic boundaries
    Mueller, Marco
    Johnston, Desmond A.
    Janke, Wolfhard
    NUCLEAR PHYSICS B, 2017, 914 : 388 - 404
  • [26] Numerically exact correlations and sampling in the two-dimensional Ising spin glass
    Thomas, Creighton K.
    Middleton, A. Alan
    PHYSICAL REVIEW E, 2013, 87 (04):
  • [27] Phase transition of ising spin glass models in two dimensions
    Shiomi, M
    Matsubara, F
    Shirakura, T
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2000, 69 (09) : 2798 - 2807
  • [28] Replica bound for Ising spin glass models in one dimension
    Okuyama, Manaka
    Ohzeki, Masayuki
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2025, 58 (01)
  • [29] STABILITY CONDITIONS OF GENERALIZED ISING SPIN-GLASS MODELS
    LAGE, EJS
    DEALMEIDA, JRL
    JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1982, 15 (33): : 1187 - 1193
  • [30] A dedicated computer for Ising-like spin glass models
    Pech, J
    Tarancon, A
    Ullod, CL
    COMPUTER PHYSICS COMMUNICATIONS, 1997, 106 (1-2) : 10 - 20