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
Order Parameter and Scaling Fields in Self-Organized Criticality / A. Vespignani, S. Zapperi. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 78:25(1997 Jun 23), pp. 4793-4796.
Order Parameter and Scaling Fields in Self-Organized Criticality
S. Zapperi
1997
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 theoryFile | Dimensione | Formato | |
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