Finite-Size Effects for Anisotropic Bootstrap Percolation: Logarithmic Corrections

被引：0
|
作者：
Aernout C. D. van Enter
Tim Hulshof
机构：
[1] Rijksuniversiteit Groningen,Institute for Mathematics and Computing Sciences
来源：
Journal of Statistical Physics | 2007年 / 128卷
关键词：
Bootstrap percolation; Cellular automaton; Finite size effects; Metastability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this note we analyse an anisotropic, two-dimensional bootstrap percolation model introduced by Gravner and Griffeath. We present upper and lower bounds on the finite-size effects. We discuss the similarities with the semi-oriented model introduced by Duarte.
引用
收藏
页码：1383 / 1389
页数：6
相关论文
共 50 条
  • [21] Finite-size scaling in stick percolation
    Li, Jiantong
    Zhang, Shi-Li
    PHYSICAL REVIEW E, 2009, 80 (04)
  • [22] LOGARITHMIC CORRECTIONS TO FINITE-SIZE SCALING IN THE 4-STATE POTTS-MODEL
    HAMER, CJ
    BATCHELOR, MT
    BARBER, MN
    JOURNAL OF STATISTICAL PHYSICS, 1988, 52 (3-4) : 679 - 710
  • [23] FINITE-SIZE EFFECTS IN TWO-DIMENSIONAL CONTINUUM PERCOLATION
    BOUDVILLE, WJ
    MCGILL, TC
    PHYSICAL REVIEW B, 1989, 39 (01): : 369 - 373
  • [24] NUMERICAL TEST OF FINITE-SIZE CORRECTIONS FOR THE ANISOTROPIC HEISENBERG-ANTIFERROMAGNET CHAIN
    MEDEIROS, D
    CABRERA, GG
    PHYSICAL REVIEW B, 1991, 44 (02): : 848 - 851
  • [25] Finite-size corrections to the density of states
    Woerner, C. H.
    Munoz, E.
    EUROPEAN JOURNAL OF PHYSICS, 2012, 33 (05) : 1465 - 1472
  • [26] Corrections to finite size scaling in percolation
    de Oliveira, PC
    Nóbrega, RA
    Stauffer, D
    BRAZILIAN JOURNAL OF PHYSICS, 2003, 33 (03) : 616 - 618
  • [27] Explosive site percolation and finite-size hysteresis
    Bastas, Nikolaos
    Kosmidis, Kosmas
    Argyrakis, Panos
    PHYSICAL REVIEW E, 2011, 84 (06)
  • [28] Finite-size scaling of energylike quantities in percolation
    Deng, Youjin
    Yang, Xianqing
    PHYSICAL REVIEW E, 2006, 73 (06):
  • [29] FINITE-SIZE SCALING STUDY OF NONEQUILIBRIUM PERCOLATION
    LIRONIS, G
    HEERMANN, DW
    BINDER, K
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (07): : L329 - L334
  • [30] ON FINITE-SIZE SCALING OF THE ORDER PARAMETER IN PERCOLATION
    MARGOLINA, A
    HERRMANN, HJ
    PHYSICS LETTERS A, 1984, 104 (05) : 295 - 298
12345