Critical Binder cumulant in two-dimensional anisotropic Ising models

被引:77
|
作者
Selke, W [1 ]
Shchur, LN
机构
[1] Rhein Westfal TH Aachen, Inst Theoret Phys, D-52056 Aachen, Germany
[2] LD Landau Theoret Phys Inst, Chernogolovka 142432, Russia
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2005年 / 38卷 / 44期
关键词
D O I
10.1088/0305-4470/38/44/L03
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Binder cumulant at the phase transitions of Ising models on square lattices with various ferromagnetic nearest- and next-nearest-neighbour couplings is determined using mainly Monte Carlo techniques. We discuss the possibility of relating the value of the critical cumulant in the isotropic, nearest neighbour and in the anisotropic cases to each other by means of a scale transformation in rectangular geometry to pinpoint universal and nonuniversal features.
引用
收藏
页码:L739 / L744
页数:6
相关论文
共 50 条
  • [1] Critical Binder cumulant of two-dimensional Ising models
    W. Selke
    The European Physical Journal B - Condensed Matter and Complex Systems, 2006, 51 : 223 - 228
  • [2] Critical binder cumulant of two-dimensional Ising models
    Selke, W.
    EUROPEAN PHYSICAL JOURNAL B, 2006, 51 (02): : 223 - 228
  • [3] Critical Binder cumulant in a two-dimensional anisotropic Ising model with competing interactions
    Selke, W.
    Shchur, L. N.
    PHYSICAL REVIEW E, 2009, 80 (04):
  • [4] Anisotropy and universality in finite-size scaling: Critical Binder cumulant of a two-dimensional Ising model
    Kastening, Boris
    PHYSICAL REVIEW E, 2013, 87 (04):
  • [5] The critical Binder cumulant for isotropic Ising models on square and triangular lattices
    Selke, W.
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2007,
  • [6] Critical Properties of Two-dimensional Anisotropic Ising Model on a Square Lattice
    Farsal, D.
    Snina, M.
    Badia, M.
    Bennai, M.
    JOURNAL OF SUPERCONDUCTIVITY AND NOVEL MAGNETISM, 2017, 30 (08) : 2187 - 2195
  • [7] A Direct Calculation of Critical Exponents of Two-Dimensional Anisotropic Ising Model
    XIONG GangI and WANG Xiang-Rong~2 ~1 physics Department
    CommunicationsinTheoreticalPhysics, 2006, 45 (05) : 932 - 934
  • [8] A direct calculation of critical exponents of two-dimensional anisotropic Ising model
    Xiong, G
    Wang, XR
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 45 (05) : 932 - 934
  • [9] The critical temperature of two-dimensional and three-dimensional Ising models
    Liu, B
    Gitterman, M
    AMERICAN JOURNAL OF PHYSICS, 2003, 71 (08) : 806 - 808
  • [10] Critical Properties of Two-dimensional Anisotropic Ising Model on a Square Lattice
    D. Farsal
    M. Snina
    M. Badia
    M. Bennai
    Journal of Superconductivity and Novel Magnetism, 2017, 30 : 2187 - 2195