Order parameter and scaling fields in self-organized criticality

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.

• Publication year

  1996

• Venue

  Physical Review Letters

• Publication date

  1996-12-17

• Fields of study

  Physics

• Identifiers
  DOI 10.1103/PhysRevLett.78.4793arXiv cond-mat/9612158
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

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• No concepts are published for this paper.

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