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

页码：3215 / 3218

页数：4

共 21 条

[1]

ANDERSEN JV, 1991, PHYS REV B, V44, P429

[2] SELF-ORGANIZED CRITICALITY [J].

BAK, P ;

TANG, C ;

WIESENFELD, K .

PHYSICAL REVIEW A, 1988, 38 (01) :364-374

[3] SELF-ORGANIZED CRITICALITY - AN EXPLANATION OF 1/F NOISE [J].

BAK, P ;

TANG, C ;

WIESENFELD, K .

PHYSICAL REVIEW LETTERS, 1987, 59 (04) :381-384

[4] A FOREST-FIRE MODEL AND SOME THOUGHTS ON TURBULENCE [J].

BAK, P ;

CHEN, K ;

TANG, C .

PHYSICS LETTERS A, 1990, 147 (5-6) :297-300

[5]

BAK P, 1997, HOW NATURE WORKS

[6] Anomalous scaling in the Bak-Chen-Tang forest fire model [J].

Broker, HM ;

Grassberger, P .

PHYSICAL REVIEW E, 1997, 56 (05) :R4918-R4921

[7] A DETERMINISTIC CRITICAL FOREST FIRE MODEL [J].

CHEN, K ;

BAK, P ;

JENSEN, MH .

PHYSICS LETTERS A, 1990, 149 (04) :207-210

[8] SCALING LAWS AND SIMULATION RESULTS FOR THE SELF-ORGANIZED CRITICAL FOREST-FIRE MODEL [J].

CLAR, S ;

DROSSEL, B ;

SCHWABL, F .

PHYSICAL REVIEW E, 1994, 50 (02) :1009-1018

[9] Forest fires and other examples of self-organized criticality [J].

Clar, S ;

Drossel, B ;

Schwabl, F .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1996, 8 (37) :6803-6824

[10] SELF-ORGANIZED CRITICAL FOREST-FIRE MODEL [J].

DROSSEL, B ;

SCHWABL, F .

PHYSICAL REVIEW LETTERS, 1992, 69 (11) :1629-1632

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