ON A FOREST-FIRE MODEL WITH SUPPOSED SELF-ORGANIZED CRITICALITY

被引:80
作者
GRASSBERGER, P
KANTZ, H
机构
[1] Physics Department, University of Wuppertal, Wuppertal 1
关键词
CRITICAL PHENOMENA; SELF-ORGANIZED CRITICALITY; EPIDEMICS; FOREST FIRES; PERCOLATION;
D O I
10.1007/BF01029205
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study a stochastic forest fire model introduced by P. Bak et al. as a model showing self-organized criticality. This model involves a growth parameter p, and the criticality is supposed to show up in the limit p --> 0. By stimulating the model on much larger lattices, and with much smaller values of p, we find that the correlations with longest range do not show a nontrivial critical phenomenon in this limit, though we cannot rule out percolation-like critical behavior on a smaller but still divergent length scale. In contrast, the model shows nontrivial deterministic evolution over time scales >> 1/p in the limit p --> 0.
引用
收藏
页码:685 / 700
页数:16
相关论文
共 20 条
[1]  
[Anonymous], 1985, INTERACTING PARTICLE
[2]   THE PHYSICS OF FRACTALS [J].
BAK, P ;
CHEN, K .
PHYSICA D, 1989, 38 (1-3) :5-12
[3]   SELF-ORGANIZED CRITICALITY [J].
BAK, P ;
TANG, C ;
WIESENFELD, K .
PHYSICAL REVIEW A, 1988, 38 (01) :364-374
[4]   SELF-ORGANIZED CRITICALITY - AN EXPLANATION OF 1/F NOISE [J].
BAK, P ;
TANG, C ;
WIESENFELD, K .
PHYSICAL REVIEW LETTERS, 1987, 59 (04) :381-384
[5]  
BAK P, 1988, PREPRINT
[6]  
Broadbent S. R., 1957, MATH PROC CAMBRIDGE, V53, P629, DOI [DOI 10.1017/S0305004100032680, 10.1017/S030500410003 2680]
[7]   LOW-FREQUENCY FLUCTUATIONS IN SOLIDS - 1-F NOISE [J].
DUTTA, P ;
HORN, PM .
REVIEWS OF MODERN PHYSICS, 1981, 53 (03) :497-516
[8]   ON THE SPREADING OF TWO-DIMENSIONAL PERCOLATION [J].
GRASSBERGER, P .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (04) :L215-L219
[9]   SPREADING OF PERCOLATION IN 3 AND 4 DIMENSIONS [J].
GRASSBERGER, P .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (09) :1681-1689
[10]  
Grassberger P., 1986, FRACTALS PHYSICS, P273