Avalanche Behavior in an Absorbing State Oslo Model

Details Avalanche Behavior in an Absorbing State Oslo Model Avalanche Behavior in an Absorbing State Oslo Model

2004-05-19

arxiv.org/abs/cond-mat/0405454v2

Phys. Rev. E 70 067101-1--4 (2004)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures, REVTeX 4, submitted to PRE Brief Reports; added reference and some extra information in V2

Scientific paper

10.1103/PhysRevE.70.067101

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, \tau, an analysis of the effect of the external drive and the boundary conditions is required.

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