Order Parameter and Scaling Fields in Self-Organized Criticality

Alessandro Vespignani, Stefano Zapperi
1997 Physical Review Letters  
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
more » ... rent predictions. Numerical simulations confirm the validity of our results beyond mean-field theory.
doi:10.1103/physrevlett.78.4793 fatcat:hoajz2eduze4ta7wjocs5g5kdi