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.
Cite
@article{arxiv.cond-mat/9810408,
title = {Self-organized criticality and directed percolation},
author = {Alexei Vazquez and Oscar Sotolongo-Costa},
journal= {arXiv preprint arXiv:cond-mat/9810408},
year = {2009}
}
Comments
9 pages, 10 eps figs, revtex, submitted to J. Phys. A