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.
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
Permanent URL
Recommended Citation
Vespignani, A and Zapperi, S, "Order parameter and scaling fields in self-organized criticality" (1997). Physics Faculty Publications. Paper 217. http://hdl.handle.net/2047/d20002177
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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.