Approximate Accounting of Spin Correlations in the Ising Model

被引：0
|
作者：
Semkin, S., V [1 ]
Smagin, V. P. [1 ]
机构：
[1] Vladivostok State Univ Econ & Serv, Vladivostok 690019, Russia
来源：
PHYSICS OF THE SOLID STATE | 2021年 / 63卷 / 09期
关键词：
Ising model; spin correlations; critical indices;
D O I：
10.1134/S1063783421080278
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
The expressions for average products of three neighboring spins in the Ising model have been found on lattices with coordination numbers 3 and 4 as functions of temperature and spontaneous magnetization. These expressions are used to compare the exact solution for the Ising model on a square lattice and the solutions found by approximate methods. A method of improving approximate methods is proposed for applying, in particular, to the Bethe approximation and to a change in the critical index of the temperature dependence of the spontaneous magnetization.
引用
收藏
页码：1305 / 1310
页数：6
相关论文
共 50 条
  • [1] Approximate Accounting of Spin Correlations in the Ising Model
    S. V. Semkin
    V. P. Smagin
    Physics of the Solid State, 2021, 63 : 1305 - 1310
  • [2] UNIVERSALITY OF SPIN CORRELATIONS IN THE ISING MODEL ON ISORADIAL GRAPHS
    Chelkak, Dmitry
    Izyurov, Konstantin
    Mahfouf, Remy
    ANNALS OF PROBABILITY, 2023, 51 (03) : 840 - 898
  • [3] SPIN CORRELATIONS AND MAGNETIC-SUSCEPTIBILITY OF THE 2-DIMENSIONAL ISING-MODEL
    TANAKA, Y
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1995, 64 (05) : 1726 - 1747
  • [4] Chaotic spin correlations in frustrated Ising hierarchical lattices
    Aral, Nese
    Berker, A. Nihat
    PHYSICAL REVIEW B, 2009, 79 (01)
  • [5] CONFORMAL INVARIANCE OF ISING MODEL CORRELATIONS
    Hongler, C.
    XVIITH INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS, 2014, : 326 - 335
  • [6] Quantum correlations in the Kerr Ising model
    Kewming, M. J.
    Shrapnel, S.
    Milburn, G. J.
    NEW JOURNAL OF PHYSICS, 2020, 22 (05):
  • [7] Approximating Pairwise Correlations in the Ising Model
    Goldberg, Leslie Ann
    Jerrum, Mark
    ACM TRANSACTIONS ON COMPUTATION THEORY, 2019, 11 (04)
  • [8] Asymptotics of decay of correlations for lattice spin fields at high temperatures .1. The Ising model
    Minlos, RA
    Zhizhina, EA
    JOURNAL OF STATISTICAL PHYSICS, 1996, 84 (1-2) : 85 - 118
  • [9] ENERGY CORRELATIONS IN THE CRITICAL ISING MODEL ON A TORUS
    Izyurov, Konstantin
    Kemppainen, Antti
    Tuisku, Petri
    ANNALS OF APPLIED PROBABILITY, 2024, 34 (02) : 1699 - 1729
  • [10] Ising model with variable spin/agent strengths
    Krasnytska, M.
    Berche, B.
    Holovatch, Yu
    Kenna, R.
    JOURNAL OF PHYSICS-COMPLEXITY, 2020, 1 (03):
12345