Forest-fire models as a bridge between different paradigms in self-organized criticality

被引:19
|
作者
Sinha-Ray, P [1 ]
Jensen, HJ [1 ]
机构
[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2BZ, England
来源
PHYSICAL REVIEW E | 2000年 / 62卷 / 03期
关键词
D O I
10.1103/PhysRevE.62.3215
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 turn the stochastic critical forest-fire model introduced by Drossel and Schwabl [Phys. Rev. Lett. 69, 1629 (1992)] into a Completely deterministic threshold model. This model has many features in common with sandpile and earthquake models of self-organized criticality. Our deterministic forest-fire model exhibits in detail the same macroscopic statistical properties as the original Drossel-Schwabl model. We use the deterministic model to elaborate on the relation between forest-fire, sandpile, and earthquake models.
引用
收藏
页码:3215 / 3218
页数:4
相关论文
共 50 条
  • [1] Self-organized criticality in forest-fire models
    [J]. Phys A Stat Mech Appl, 1-4 (153-159):
  • [2] Self-organized criticality in forest-fire models
    Clar, S
    Drossel, B
    Schenk, K
    Schwab, F
    [J]. PHYSICA A, 1999, 266 (1-4): : 153 - 159
  • [3] SELF-ORGANIZED CRITICALITY IN A FOREST-FIRE MODEL
    DROSSEL, B
    SCHWABL, F
    [J]. PHYSICA A, 1992, 191 (1-4): : 47 - 50
  • [4] Self-organized criticality and synchronization in a forest-fire model
    Drossel, B
    [J]. PHYSICAL REVIEW LETTERS, 1996, 76 (06) : 936 - 939
  • [5] ON A FOREST-FIRE MODEL WITH SUPPOSED SELF-ORGANIZED CRITICALITY
    GRASSBERGER, P
    KANTZ, H
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1991, 63 (3-4) : 685 - 700
  • [6] Synchronization and coarsening (without self-organized criticality) in a forest-fire model
    Chan, KE
    Krapivsky, PL
    Redner, S
    [J]. PHYSICAL REVIEW E, 2002, 66 (01): : 1 - 016122
  • [7] ON A SELF-ORGANIZED CRITICAL FOREST-FIRE MODEL
    GRASSBERGER, P
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (09): : 2081 - 2089
  • [8] SELF-ORGANIZED CRITICAL FOREST-FIRE MODEL
    DROSSEL, B
    SCHWABL, F
    [J]. PHYSICAL REVIEW LETTERS, 1992, 69 (11) : 1629 - 1632
  • [9] Influences of finite-size effects on the self-organized criticality of forest-fire model
    Song, WG
    Fan, WC
    Wang, BH
    [J]. CHINESE SCIENCE BULLETIN, 2002, 47 (03): : 177 - 180
  • [10] Self-organized criticality of forest fire in China
    Song, WG
    Fan, WC
    Wang, BH
    Zhou, JJ
    [J]. ECOLOGICAL MODELLING, 2001, 145 (01) : 61 - 68