Abstract

We present a unified dynamical mean-field theory for stochastic self-organized critical models. We use a single site approximation, and we include the details of different models by using effective parameters and constraints. We identify the order parameter and the relevant scaling fields in order to describe the critical behavior in terms of the usual concepts of nonequilibrium lattice models with steady states. We point out the inconsistencies of previous mean-field approaches, which lead to different predictions. Numerical simulations confirm the validity of our results beyond mean-field theory.

Notes

Originally published in Physical Review Letters, v.78 no.25 (1997), pp.4793-4796. DOI:10.1103/PhysRevLett.78.4793. Dr. Vespignani is affiliated with Northeastern University as of the time of deposit.

Keywords

stochastic self-organized critical models, numerical simulations, order parameter, scaling fields

Subject Categories

Mean field theory, Stochastic models

Disciplines

Physics

Publisher

American Physical Society

Publication Date

6-23-1997

Rights Information

©1997 American Physical Society

Rights Holder

American Physical Society

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