Generic sandpile models have directed percolation exponents

Mohanty, P. K. ; Dhar, Deepak (2002) Generic sandpile models have directed percolation exponents Physical Review Letters, 89 (10). 104303_1-104303_4. ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v89/i10/e104303

Related URL: http://dx.doi.org/10.1103/PhysRevLett.89.104303

Abstract

We study sandpile models with stochastic toppling rules and having sticky grains so that with a nonzero probability no toppling occurs, even if the local height of pile exceeds the threshold value. Dissipation is introduced by adding a small probability of particle loss at each toppling. Generically for the models with a preferred direction, the avalanche exponents are those of critical directed percolation clusters. For undirected models, avalanche exponents are those of directed percolation clusters in one higher dimension.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:9297
Deposited On:02 Nov 2010 12:32
Last Modified:16 May 2016 19:07

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