Scaling exponents of sandpile-type models of self-organized criticality

被引：9

作者：

Edney, SD ^{[1
]}

Robinson, PA ^{[1
]}

Chisholm, D ^{[1
]}

机构：

[1] Univ Sydney, Sch Phys, Sydney, NSW 2006, Australia

来源：

PHYSICAL REVIEW E | 1998年 / 58卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.58.5395

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：

Critical scaling exponents for eight sandpile-type systems that display self-organized criticality are determined numerically. These results are consistent with previous results where available and provide a more extensive, accurate, and consistent set of exponents than has previously been published for the set of models overall. Several theoretical interrelationships between the various exponents are verified. [S1063-651X(98)09510-5].

引用

收藏

页码：5395 / 5402

页数：8

相关论文

共 23 条

[1] SELF-ORGANIZED CRITICALITY [J].

BAK, P ;

TANG, C ;

WIESENFELD, K .

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

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

BAK, P ;

TANG, C ;

WIESENFELD, K .

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

[3] Universality in sandpile models [J].

BenHur, A ;

Biham, O .

PHYSICAL REVIEW E, 1996, 53 (02) :R1317-R1320

[4] A dynamical system approach to SOC models of Zhang's type [J].

Blanchard, P ;

Cessac, B ;

Kruger, T .

JOURNAL OF STATISTICAL PHYSICS, 1997, 88 (1-2) :307-318

[5] PROPERTIES OF EARTHQUAKES GENERATED BY FAULT DYNAMICS [J].

CARLSON, JM ;

LANGER, JS .

PHYSICAL REVIEW LETTERS, 1989, 62 (22) :2632-2635

[6] SANDPILE MODELS WITH AND WITHOUT AN UNDERLYING SPATIAL STRUCTURE [J].

CHRISTENSEN, K ;

OLAMI, Z .

PHYSICAL REVIEW E, 1993, 48 (05) :3361-3372

[7] DYNAMIC RENORMALIZATION-GROUP APPROACH TO SELF-ORGANIZED CRITICAL PHENOMENA [J].

DIAZGUILERA, A .

EUROPHYSICS LETTERS, 1994, 26 (03) :177-182

[8] NOISE AND DYNAMICS OF SELF-ORGANIZED CRITICAL PHENOMENA [J].

DIAZGUILERA, A .

PHYSICAL REVIEW A, 1992, 45 (12) :8551-8558

[9] Critical behavior of the sandpile model as a self-organized branching process [J].

Ivashkevich, EV .

PHYSICAL REVIEW LETTERS, 1996, 76 (18) :3368-3371

[10] EFFECT OF ANISOTROPY ON THE SELF-ORGANIZED CRITICAL STATE [J].

JANOSI, IM .

PHYSICAL REVIEW A, 1990, 42 (02) :769-774