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arXiv · cond-mat/9810408

Self-organized criticality and directed percolation

Alexei Vazquez·Oscar Sotolongo-Costa
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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.

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Alexei Vazquez, Oscar Sotolongo-Costa. 1998-11-11. Self-organized criticality and directed percolation. https://doi.org/10.1088/0305-4470%2F32%2F14%2F004

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