Self-organized criticality and directed percolation

Details Self-organized criticality and directed percolation Self-organized criticality and directed percolation

1998-10-30

arxiv.org/abs/cond-mat/9810408v2

Physics

Condensed Matter

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

Scientific paper

10.1088/0305-4470/32/14/004

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.

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