{
  "id": "cond-mat/9612158",
  "version": "v1",
  "published": "1996-12-17T17:47:38.000Z",
  "updated": "1996-12-17T17:47:38.000Z",
  "title": "Order Parameter and Scaling Fields in Self-Organized Criticality",
  "authors": [
    "Alessandro Vespignani",
    "Stefano Zapperi"
  ],
  "comment": "4 RevTex pages and 2 postscript figures",
  "doi": "10.1103/PhysRevLett.78.4793",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1996-12-17T17:47:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "order parameter",
      "self-organized criticality",
      "non equilibrium lattice models",
      "single site approximation",
      "unified dynamical mean-field theory"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}