SELF-ORGANIZED CRITICAL STATE OF SANDPILE AUTOMATON MODELS

被引：711
作者：
DHAR, D
机构：
[1] Theoretical Physics Group, Tata Institute of Fundamental Research, Bombay 400 005, Homi Bhabha Road
来源：
PHYSICAL REVIEW LETTERS | 1990年 / 64卷 / 14期
关键词：
D O I：
10.1103/PhysRevLett.64.1613
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study a general Bak-Tang-Wiesenfeld"type automaton model of self-organized criticality in which the toppling conditions depend on local height, but not on its gradient. We characterize the critical state, and determine its entropy for an arbitrary finite lattice in any dimension. The two-point correlation function is shown to satisfy a linear equation. The spectrum of relaxation times describing the approach to the critical state is also determined exactly. © 1990 The American Physical Society.
引用
收藏
页码：1613 / 1616
页数：4
相关论文
共 16 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]  
BAK P, 1984, PHYSICA D, V38, P5
[4]   IS THE UNIVERSE OPERATING AT A SELF-ORGANIZED CRITICAL STATE [J].
CHEN, K ;
BAK, P .
PHYSICS LETTERS A, 1989, 140 (06) :299-302
[5]   EXACTLY SOLVED MODEL OF SELF-ORGANIZED CRITICAL PHENOMENA [J].
DHAR, D ;
RAMASWAMY, R .
PHYSICAL REVIEW LETTERS, 1989, 63 (16) :1659-1662
[6]  
DHAR D, 1989, IN PRESS MAY P ICTP
[7]  
DHAR D, IN PRESS
[8]  
GRASSBERGER P, 1990, IN PRESS WUPPERTAL R
[9]   DISSIPATIVE TRANSPORT IN OPEN SYSTEMS - AN INVESTIGATION OF SELF-ORGANIZED CRITICALITY [J].
HWA, T ;
KARDAR, M .
PHYSICAL REVIEW LETTERS, 1989, 62 (16) :1813-1816
[10]  
HWA T, 1908, PHYSICA D, V38, P198
12