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Order Parameter and Scaling Fields in Self-Organized Criticality
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
doi:10.1103/physrevlett.78.4793
fatcat:hoajz2eduze4ta7wjocs5g5kdi