Dynamical critical behavior of the four-dimensional Ising model

被引:7
|
作者
Adler, J
Stauffer, D
机构
关键词
Ising model; logarithmic corrections; dynamics; Monte Carlo;
D O I
10.1142/S0129183195000666
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Monte Carlo simulations of the Glauber dynamics in the four-dimensional Ising model with up to 312(4) spins agree with the theoretically expected logarithmic corrections to mean field behavior, if we assume J/k(B)T(c) = 0.14970, consistent with some series analysis.
引用
收藏
页码:807 / 812
页数:6
相关论文
共 50 条
  • [1] Critical behavior of the Ising model on the four-dimensional cubic lattice
    Lundow, P. H.
    Markstrom, K.
    [J]. PHYSICAL REVIEW E, 2009, 80 (03):
  • [2] Critical dynamical behavior of the Ising model
    Liu, Zihua
    Vatansever, Erol
    Barkema, Gerard T.
    Fytas, Nikolaos G.
    [J]. PHYSICAL REVIEW E, 2023, 108 (03)
  • [3] Revising the universality class of the four-dimensional Ising model
    Lundow, P. H.
    Markstrom, K.
    [J]. NUCLEAR PHYSICS B, 2023, 993
  • [4] Universality class of the dilute four-dimensional Ising model
    Feldmann, H
    [J]. PHYSICAL REVIEW B, 1997, 56 (13): : 7783 - 7784
  • [5] New results for the dynamical critical behavior of the two-dimensional Ising model
    Tiggemann, D
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2004, 15 (08): : 1069 - 1073
  • [6] Critical exponents of four-dimensional random-field Ising systems
    Hartmann, AK
    [J]. PHYSICAL REVIEW B, 2002, 65 (17) : 1 - 8
  • [7] Simulation of the four-dimensional Ising model on the Creutz cellular automaton
    Aktekin, N
    [J]. PHYSICA A, 1996, 232 (1-2): : 397 - 407
  • [8] Critical dynamics of the four-dimensional XY model
    Jensen, LM
    Kim, BJ
    Minnhagen, P
    [J]. PHYSICA B, 2000, 284 : 455 - 456
  • [9] The finite-size scaling functions of the four-dimensional Ising model
    Aktekin, N
    [J]. JOURNAL OF STATISTICAL PHYSICS, 2001, 104 (5-6) : 1397 - 1406
  • [10] Numerical study of the transition of the four-dimensional random field Ising model
    Sacconi, R
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (16): : 3751 - 3758