Avalanche Behavior in an Absorbing State Oslo Model

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.

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

References in corpus (8)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Paths to Self-Organized Criticality
• Tracer Dispersion in a Self-Organized Critical System
• Transport in Sand Piles, Interface Depinning, and Earthquake Models
• Order Parameter and Scaling Fields in Self-Organized Criticality
• Rare events and breakdown of simple scaling in the Abelian sandpile
• The Oslo rice pile model is a quenched Edwards-Wilkinson equation
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• Absorbing states and elastic interfaces in random media: two equivalent descriptions of self-organized criticality
• Self-organized Criticality and Absorbing States: Lessons from the Ising Model
• Reply to "Comment on `Self-organized Criticality and Absorbing States: Lessons from the Ising Model'"
• Nonuniversal exponents in sandpiles with stochastic particle number transfer
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