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
  • [1] Finite-size effects for anisotropic bootstrap percolation: Logarithmic corrections
    van Enter, Aernout C. D.
    Hulshof, Tim
    JOURNAL OF STATISTICAL PHYSICS, 2007, 128 (06) : 1383 - 1389
  • [2] FINITE-SIZE EFFECTS FOR SOME BOOTSTRAP PERCOLATION MODELS
    VANENTER, ACD
    ADLER, J
    DUARTE, JAMS
    JOURNAL OF STATISTICAL PHYSICS, 1990, 60 (3-4) : 323 - 332
  • [3] Higher order corrections for anisotropic bootstrap percolation
    Duminil-Copin, Hugo
    van Enter, Aernout C. D.
    Hulshof, Tim
    PROBABILITY THEORY AND RELATED FIELDS, 2018, 172 (1-2) : 191 - 243
  • [4] Higher order corrections for anisotropic bootstrap percolation
    Hugo Duminil-Copin
    Aernout C. D. van Enter
    Tim Hulshof
    Probability Theory and Related Fields, 2018, 172 : 191 - 243
  • [5] Diffusion in bulk liquids: finite-size effects in anisotropic systems
    Botan, Alexandru
    Marry, Virginie
    Rotenberg, Benjamin
    MOLECULAR PHYSICS, 2015, 113 (17-18) : 2674 - 2679
  • [6] Finite size scaling in three-dimensional bootstrap percolation
    Cerf, R
    Cirillo, ENM
    ANNALS OF PROBABILITY, 1999, 27 (04): : 1837 - 1850
  • [7] SHARP METASTABILITY THRESHOLD FOR AN ANISOTROPIC BOOTSTRAP PERCOLATION MODEL
    Duminil-Copin, H.
    Van Enter, A. C. D.
    ANNALS OF PROBABILITY, 2013, 41 (3A): : 1218 - 1242
  • [8] Finite-size effects in hyperuniform vortex matter
    Milagros Besana, Rocio
    Elias, Federico
    Puig, Joaquin
    Aragon Sanchez, Jazmin
    Nieva, Gladys
    Benedykt Kolton, Alejandro
    Fasano, Yanina
    JOURNAL OF PHYSICS-CONDENSED MATTER, 2024, 36 (28)
  • [9] Finite-size effects in disordered λφ4 model
    Acosta Diaz, R.
    Svaiter, N. F.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2016, 30 (30):
  • [10] Finite-size effects in periodic coupled cluster calculations
    Xing, Xin
    Lin, Lin
    JOURNAL OF COMPUTATIONAL PHYSICS, 2024, 500
12345