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 Effects with Boundary Conditions on Bose-Einstein Condensation
    Cheng, Run
    Wang, Qian-Yi
    Wang, Yong-Long
    Zong, Hong-Shi
    SYMMETRY-BASEL, 2021, 13 (02): : 1 - 11
  • [22] SHARP METASTABILITY THRESHOLD FOR AN ANISOTROPIC BOOTSTRAP PERCOLATION MODEL (vol 41, pg 1218, 2013)
    Duminil-Copin, Hugo
    van Enter, Aernout
    ANNALS OF PROBABILITY, 2016, 44 (02): : 1599 - 1599
  • [23] Finite-Size Effects in Metasurface Lasers Based on Resonant Dark States
    Droulias, Sotiris
    Koschny, Thomas
    Soukoulis, Costas M.
    ACS PHOTONICS, 2018, 5 (09): : 3788 - 3793
  • [24] Finite-size effects on nucleation in a first-order phase transition
    Fraga, ES
    Venugopalan, R
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 345 (1-2) : 121 - 129
  • [25] Surface-Dominated Finite-Size Effects in Nanoconfined Superfluid Helium
    Varga, E.
    Undershute, C.
    Davis, J. P.
    PHYSICAL REVIEW LETTERS, 2022, 129 (14)
  • [26] FINITE-SIZE EFFECTS IN RANDOM ENERGY MODELS AND IN THE PROBLEM OF POLYMERS IN A RANDOM MEDIUM
    COOK, J
    DERRIDA, B
    JOURNAL OF STATISTICAL PHYSICS, 1991, 63 (3-4) : 505 - 539
  • [27] FINITE-SIZE EFFECTS IN SURFACE-TENSION .1. FLUCTUATING INTERFACES
    ABRAHAM, DB
    SVRAKIC, NM
    JOURNAL OF STATISTICAL PHYSICS, 1991, 63 (5-6) : 1077 - 1096
  • [28] Finite-size effects on the thermal conductivity of 4He near Tλ
    Töpler, M
    Dohm, V
    PHYSICA B-CONDENSED MATTER, 2003, 329 : 200 - 201
  • [29] Lattice φ4 theory of finite-size effects above the upper critical dimension
    Chen, XS
    Dohm, V
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 1998, 9 (07): : 1073 - 1105
  • [30] Finite-size effects of Kirkwood-Buff integrals from molecular simulations
    Dawass, N.
    Kruger, P.
    Schnell, S. K.
    Bedeaux, D.
    Kjelstrup, S.
    Simon, J. M.
    Vlugt, T. J. H.
    MOLECULAR SIMULATION, 2018, 44 (07) : 599 - 612
12345