Self-organized criticality and directed percolation

Abstract

A sandpile model with stochastic toppling rule is studied. The control parameters and the phase diagram are determined through a MF approach, the subcritical and critical regions are analyzed. The model is found to have some similarities with directed percolation, but the existence of different boundary conditions and conservation law leads to a different universality class, where the critical state is extended to a line segment due to self-organization. These results are supported with numerical simulations in one dimension. The present model constitute a simple model which capture the essential difference between ordinary nonequilibrium critical phenomena, like DP, and self-organized criticality.

9 pages, 10 eps figs, revtex, submitted to J. Phys. A

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Cited by in corpus (3)

• Growing networks with local rules: preferential attachment, clustering hierarchy and degree correlations
• An Interface View of Directed Sandpile Dynamics
• Non conservative Abelian sandpile model with BTW toppling rule