Order parameter and scaling fields in self-organized criticality

Title:
Order parameter and scaling fields in self-organized criticality
Creator:
Vespignani, A (Author)
Zapperi, S (Author)
Language:
English
Publisher:
American Physical Society
Copyright date:
1997
Type of resource:
Text
Genre:
Articles
Format:
electronic
Digital origin:
born digital
Abstract/Description:
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.
Comments:
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.
Subjects and keywords:
Mean field theory
Stochastic models
stochastic self-organized critical models
numerical simulations
order parameter
scaling fields
Physics
Permanent Link:
http://hdl.handle.net/2047/d20002177

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