ON A SELF-ORGANIZED CRITICAL FOREST-FIRE MODEL

被引:75
作者
GRASSBERGER, P
机构
[1] Dept. of Phys., Wuppertal Univ.
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 09期
关键词
D O I
10.1088/0305-4470/26/9/007
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study a forest-fire model recently introduced in a paper by Drossel and Schwabl, by means of simulations with high statistics and very close to the critical point. In this way we can correct some statements made in that paper. In particular, we find that the critical exponents are not the 'classical' ones proposed by Drossel and Schwabl. In spite of scaling laws with anomalous exponents, the typical states of the system are not 'critical' in the sense of being marginally stable locally.
引用
收藏
页码:2081 / 2089
页数:9
相关论文
共 14 条
[1]   SELF-ORGANIZED CRITICALITY [J].
BAK, P ;
TANG, C ;
WIESENFELD, K .
PHYSICAL REVIEW A, 1988, 38 (01) :364-374
[2]   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
[3]   A DETERMINISTIC CRITICAL FOREST FIRE MODEL [J].
CHEN, K ;
BAK, P ;
JENSEN, MH .
PHYSICS LETTERS A, 1990, 149 (04) :207-210
[4]   SELF-ORGANIZED CRITICALITY IN A FOREST-FIRE MODEL [J].
DROSSEL, B ;
SCHWABL, F .
PHYSICA A, 1992, 191 (1-4) :47-50
[5]   SELF-ORGANIZED CRITICAL FOREST-FIRE MODEL [J].
DROSSEL, B ;
SCHWABL, F .
PHYSICAL REVIEW LETTERS, 1992, 69 (11) :1629-1632
[6]   RECURSIVE SAMPLING OF RANDOM-WALKS - SELF-AVOIDING WALKS IN DISORDERED MEDIA [J].
GRASSBERGER, P .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (05) :1023-1036
[7]   SOME MORE SANDPILES [J].
GRASSBERGER, P ;
MANNA, SS .
JOURNAL DE PHYSIQUE, 1990, 51 (11) :1077-1098
[8]   ON A FOREST-FIRE MODEL WITH SUPPOSED SELF-ORGANIZED CRITICALITY [J].
GRASSBERGER, P ;
KANTZ, H .
JOURNAL OF STATISTICAL PHYSICS, 1991, 63 (3-4) :685-700
[9]   CASCADES AND SELF-ORGANIZED CRITICALITY [J].
MANNA, SS ;
KISS, LB ;
KERTESZ, J .
JOURNAL OF STATISTICAL PHYSICS, 1990, 61 (3-4) :923-932
[10]   CRITICAL EXPONENTS OF THE SAND PILE MODELS IN 2 DIMENSIONS [J].
MANNA, SS .
PHYSICA A, 1991, 179 (02) :249-268