SCALING LAWS AND SIMULATION RESULTS FOR THE SELF-ORGANIZED CRITICAL FOREST-FIRE MODEL

被引:79
|
作者
CLAR, S
DROSSEL, B
SCHWABL, F
机构
[1] Institut für Theoretische Physik, Physik-Department der Technichen, Universität München, D-85747 Garching, James-Franck-Strasse
来源
PHYSICAL REVIEW E | 1994年 / 50卷 / 02期
关键词
D O I
10.1103/PhysRevE.50.1009
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 discuss the properties of a self-organized critical forest-fire model which has been introduced recently [B. Drossel and F. Schwabl, Phys. Rev. Lett. 69, 1629 (1992)]. We derive scaling laws and define critical exponents. The values of these critical exponents are determined by computer simulations in one to eight dimensions. The simulations suggest a critical dimension d(c) = 6 above which the critical exponents assume their mean-field values. Changing the lattice symmetry and allowing trees to be immune against fire, we show that the critical exponents are universal.
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页码:1009 / 1018
页数:10
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