Reaction-diffusion system with self-organized critical behavior
Statistical Mechanics
2009-11-07 v1
Abstract
We describe the construction of a conserved reaction-diffusion system that exhibits self-organized critical (avalanche-like) behavior under the action of a slow addition of particles. The model provides an illustration of the general mechanism to generate self-organized criticality in conserving systems. Extensive simulations in d=2 and 3 reveal critical exponents compatible with the universality class of the stochastic Manna sandpile model.
Cite
@article{arxiv.cond-mat/0101358,
title = {Reaction-diffusion system with self-organized critical behavior},
author = {Romualdo Pastor-Satorras and Alessandro Vespignani},
journal= {arXiv preprint arXiv:cond-mat/0101358},
year = {2009}
}
Comments
5 pages, 7 EPS figures