2-STATE MODEL OF SELF-ORGANIZED CRITICALITY

被引：375

作者：

MANNA, SS

机构：

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 07期

关键词：

D O I：

10.1088/0305-4470/24/7/009

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a two-state version of the sandpile model of self-organized criticality. Instead of a critical height of stability as in the sandpile model, we introduce a hard core repulsion among different particles at the same position. In the case of a collision particles hop randomly to the nearest neighbours. Critical exponents obtained by numerical simulation show strong disagreement with the values theoretically predicted for the sandpile model but they are close to the numerical values of other models.

引用

页码：L363 / L369

页数：7

共 16 条

[1] AVALANCHES AND SELF-ORGANIZATION IN CELLULAR MAGNETIC-DOMAIN PATTERNS [J].

BABCOCK, KL ;

WESTERVELT, RM .

PHYSICAL REVIEW LETTERS, 1990, 64 (18) :2168-2171

[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] ABELIAN SANDPILE MODEL ON THE BETHE LATTICE [J].

DHAR, D ;

MAJUMDAR, SN .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (19) :4333-4350

[6] SOME MORE SANDPILES [J].

GRASSBERGER, P ;

MANNA, SS .

JOURNAL DE PHYSIQUE, 1990, 51 (11) :1077-1098

[7] EXPERIMENTAL-STUDY OF CRITICAL-MASS FLUCTUATIONS IN AN EVOLVING SANDPILE [J].

HELD, GA ;

SOLINA, DH ;

KEANE, DT ;

HAAG, WJ ;

HORN, PM ;

GRINSTEIN, G .

PHYSICAL REVIEW LETTERS, 1990, 65 (09) :1120-1123

[8] RELAXATION AT THE ANGLE OF REPOSE [J].

JAEGER, HM ;

LIU, CH ;

NAGEL, SR .

PHYSICAL REVIEW LETTERS, 1989, 62 (01) :40-43

[9]

JANOSI IM, 1989, PHYS REV A, V40, P5231

[10] 1/F NOISE, DISTRIBUTION OF LIFETIMES, AND A PILE OF SAND [J].

JENSEN, HJ ;

CHRISTENSEN, K ;

FOGEDBY, HC .

PHYSICAL REVIEW B, 1989, 40 (10) :7425-7427

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