AVALANCHE DYNAMICS FROM ANOMALOUS DIFFUSION

被引：22

作者：

BANTAY, P

JANOSI, IM

机构：

[1] EOTVOS LORAND UNIV, DEPT ATOM PHYS, PUSKIN U, 5-7, H-1088 BUDAPEST, HUNGARY

[2] EOTVOS LORAND UNIV, INST THEORET PHYS, H-1088 BUDAPEST, HUNGARY

来源：

PHYSICAL REVIEW LETTERS | 1992年 / 68卷 / 13期

关键词：

D O I：

10.1103/PhysRevLett.68.2058

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Bak, Tang, and Wiesenfeld introduced a sandpile model to study the so-called self-organized critical phenomena [P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. A 38, 364 (1988)]. There were several proposals to connect this discrete cellular automaton model with diffusion processes. We show how one may interpret the dynamics of this model as a discretized version of an anomalous diffusion equation, and we study the time evolution of the model off criticality.

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收藏

页码：2058 / 2061

页数：4

相关论文

共 21 条

[1] DIFFUSION-COEFFICIENT INCREASES WITH DENSITY IN HARD ELLIPSOID LIQUID-CRYSTALS [J].

ALLEN, MP .

PHYSICAL REVIEW LETTERS, 1990, 65 (23) :2881-2884

[2] SELF-ORGANIZED CRITICALITY [J].

BAK, P ;

TANG, C ;

WIESENFELD, K .

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

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

BAK, P ;

TANG, C ;

WIESENFELD, K .

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

[4]

BANTAY P, IN PRESS PHYSICA A A

[5] SELF-ORGANIZED CRITICALITY AND SINGULAR DIFFUSION [J].

CARLSON, JM ;

CHAYES, JT ;

GRANNAN, ER ;

SWINDLE, GH .

PHYSICAL REVIEW LETTERS, 1990, 65 (20) :2547-2550

[6] SELF-ORGANIZED CRITICAL STATE OF SANDPILE AUTOMATON MODELS [J].

DHAR, D .

PHYSICAL REVIEW LETTERS, 1990, 64 (14) :1613-1616

[7] LONG-RANGE CORRELATIONS FOR CONSERVATIVE DYNAMICS [J].

GARRIDO, PL ;

LEBOWITZ, JL ;

MAES, C ;

SPOHN, H .

PHYSICAL REVIEW A, 1990, 42 (04) :1954-1968

[8] SOME MORE SANDPILES [J].

GRASSBERGER, P ;

MANNA, SS .

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

[9] CONSERVATION-LAWS, ANISOTROPY, AND SELF-ORGANIZED CRITICALITY IN NOISY NONEQUILIBRIUM SYSTEMS [J].

GRINSTEIN, G ;

LEE, DH ;

SACHDEV, S .

PHYSICAL REVIEW LETTERS, 1990, 64 (16) :1927-1930

[10] GENERIC SCALE-INVARIANCE AND ROUGHENING IN NOISY MODEL SANDPILES AND OTHER DRIVEN INTERFACES [J].

GRINSTEIN, G ;

LEE, DH .

PHYSICAL REVIEW LETTERS, 1991, 66 (02) :177-180