Finite-size scaling and critical exponents in critical relaxation

被引:88
|
作者
Li, ZB [1 ]
Schulke, L [1 ]
Zheng, B [1 ]
机构
[1] UNIV GESAMTHSCH SIEGEN,D-57068 SIEGEN,GERMANY
来源
PHYSICAL REVIEW E | 1996年 / 53卷 / 03期
关键词
D O I
10.1103/PhysRevE.53.2940
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We simulate the critical relaxation process of the two-dimensional Ising model with the initial state both completely disordered or completely ordered. Results of a method to measure both the dynamic and static critical exponents are reported, based on the finite-size scaling for the dynamics at the early time. From the time-dependent Binder cumulant, the dynamical exponent z is extracted independently, while the static exponents beta/nu and nu are obtained from the time evolution of the magnetization and its higher moments.
引用
收藏
页码:2940 / 2948
页数:9
相关论文
共 50 条
  • [1] Finite-size scaling and critical exponents of the real antiferromagnetic model
    Murtazaev, AK
    Kamilov, IK
    Aliev, KH
    [J]. JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 1999, 204 (1-2) : 151 - 158
  • [2] THE RELATION BETWEEN AMPLITUDES AND CRITICAL EXPONENTS IN FINITE-SIZE SCALING
    NIGHTINGALE, P
    BLOTE, H
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (17): : L657 - L664
  • [3] Extracting critical exponents by finite-size scaling with convolutional neural networks
    Li, Zhenyu
    Luo, Mingxing
    Wan, Xin
    [J]. PHYSICAL REVIEW B, 2019, 99 (07)
  • [4] Finite-size scaling of critical avalanches
    Yadav, Avinash Chand
    Quadir, Abdul
    Jafri, Haider Hasan
    [J]. PHYSICAL REVIEW E, 2022, 106 (01)
  • [5] FINITE-SIZE SCALING FOR CRITICAL FILMS
    KRECH, M
    DIETRICH, S
    [J]. PHYSICAL REVIEW LETTERS, 1991, 66 (03) : 345 - 348
  • [6] FINITE-SIZE SCALING AND CRITICAL NUCLEATION
    MON, KK
    JASNOW, D
    [J]. PHYSICAL REVIEW LETTERS, 1987, 59 (26) : 2983 - 2986
  • [7] FINITE-SIZE SCALING AND CRITICAL EXPONENTS - A NEW APPROACH AND ITS APPLICATION TO ANDERSON LOCALIZATION
    HOFSTETTER, E
    SCHREIBER, M
    [J]. EUROPHYSICS LETTERS, 1993, 21 (09): : 933 - 939
  • [8] Resolving Anomalies in the Critical Exponents of FePt Using Finite-Size Scaling in Magnetic Fields
    Waters, J.
    Kramer, D.
    Sluckin, T. J.
    Hovorka, O.
    [J]. PHYSICAL REVIEW APPLIED, 2019, 11 (02):
  • [9] Scaling and finite-size effects for the critical backbone
    Barthelemy, M
    Buldyrev, SV
    Havlin, S
    Stanley, HE
    [J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2003, 11 : 19 - 27
  • [10] UNIVERSAL CRITICAL AMPLITUDES IN FINITE-SIZE SCALING
    PRIVMAN, V
    FISHER, ME
    [J]. PHYSICAL REVIEW B, 1984, 30 (01): : 322 - 327