SELF-ORGANIZED CRITICAL STATE OF SANDPILE AUTOMATON MODELS

被引：703

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

页码：1613 / 1616

页数：4

共 16 条

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