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Avalanche Behavior in an Absorbing State Oslo Model

2004/05/31 by Kim Christensen, Nicholas R. Moloney, Ole Peters +1
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.70.067101

published as Phys. Rev. E 70 067101-1--4 (2004) · 4 pages, 2 figures, REVTeX 4, submitted to PRE Brief Reports; added reference and some extra information in V2

arxiv created 2004/07/15 · arxiv updated 2009/12/01

Abstract

Self-organized criticality can be translated into the language of absorbing state phase transitions. Most models for which this analogy is established have been investigated for their absorbing state characteristics. In this article, we transform the self-organized critical Oslo model into an absorbing state Oslo model and analyze the avalanche behavior. We find that the resulting gap exponent, D, is consistent with its value in the self-organized critical model. For the avalanche size exponent, τ, an analysis of the effect of the external drive and the boundary conditions is required.

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