COMPLETELY DETERMINISTIC SELF-ORGANIZED CRITICAL STATE OF SANDPILE AUTOMATON MODELS

被引：5

作者：

CHAU, HF

CHENG, KS

机构：

[1] Department of Physics, University of Hong Kong

来源：

PHYSICS LETTERS A | 1991年 / 157卷 / 2-3期

关键词：

D O I：

10.1016/0375-9601(91)90079-N

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the general Abelian sandpile cellular automaton model of self-organized criticality in which the toppling conditions depend on the local height. We find that under some special kind of toppling rules, the self-organized critical states become completely deterministic, that is, the evolution of the system depends only on the total number of particles added to it but is totally independent of where you drop those particles. The result is quite general and can be applied to various models of self-organized criticality. The result has a close resemblance with the study of periodic behavior of circle maps in chaos.

引用

页码：103 / 106

页数：4

共 15 条

[1] SELF-ORGANIZED CRITICALITY
BAK, P
TANG, C
WIESENFELD, K
[J]. PHYSICAL REVIEW A, 1988, 38 (01): : 364 - 374
[2] SELF-ORGANIZED CRITICALITY - AN EXPLANATION OF 1/F NOISE
BAK, P
TANG, C
WIESENFELD, K
[J]. PHYSICAL REVIEW LETTERS, 1987, 59 (04) : 381 - 384
[3] BAK P, 1990, PHYS LETT A, V147, P295
[4] BAK P, 1984, PHYSICA D, V38, P5
[5] CHA X, 1990, PHYS REV LETT, V64, P1670
[6] IS THE UNIVERSE OPERATING AT A SELF-ORGANIZED CRITICAL STATE
CHEN, K
BAK, P
[J]. PHYSICS LETTERS A, 1989, 140 (06) : 299 - 302
[7] EXACTLY SOLVED MODEL OF SELF-ORGANIZED CRITICAL PHENOMENA
DHAR, D
RAMASWAMY, R
[J]. PHYSICAL REVIEW LETTERS, 1989, 63 (16) : 1659 - 1662
[8] SELF-ORGANIZED CRITICAL STATE OF SANDPILE AUTOMATON MODELS
DHAR, D
[J]. PHYSICAL REVIEW LETTERS, 1990, 64 (14) : 1613 - 1616
[9] MONTE-CARLO RENORMALIZATION-GROUP STUDY OF SELF-ORGANIZED CRITICALITY
GROSSMANN, B
GUO, H
GRANT, M
[J]. PHYSICAL REVIEW A, 1990, 41 (08): : 4195 - 4198
[10] DISSIPATIVE TRANSPORT IN OPEN SYSTEMS - AN INVESTIGATION OF SELF-ORGANIZED CRITICALITY
HWA, T
KARDAR, M
[J]. PHYSICAL REVIEW LETTERS, 1989, 62 (16) : 1813 - 1816

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