Order Parameter and Scaling Fields in Self-Organized Criticality

Details Order Parameter and Scaling Fields in Self-Organized Criticality Order Parameter and Scaling Fields in Self-Organized Criticality

1996-12-17

arxiv.org/abs/cond-mat/9612158v1

Physics

Condensed Matter

Statistical Mechanics

4 RevTex pages and 2 postscript figures

Scientific paper

10.1103/PhysRevLett.78.4793

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 usual concepts of non equilibrium 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.

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