Self-organized critical state of sandpile automaton models

Dhar, Deepak (1990) Self-organized critical state of sandpile automaton models Physical Review Letters, 64 (14). pp. 1613-1616. ISSN 0031-9007

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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.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:9280
Deposited On:29 Oct 2010 12:00
Last Modified:16 May 2016 19:06

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