{
  "id": "0811.2093",
  "version": "v1",
  "published": "2008-11-13T12:29:15.000Z",
  "updated": "2008-11-13T12:29:15.000Z",
  "title": "Self-organized criticality via stochastic partial differential equations",
  "authors": [
    "Viorel Barbu",
    "Philippe Blanchard",
    "Giuseppe Da Prato",
    "Michael Röckner"
  ],
  "categories": [
    "math.PR",
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "Models of self-organized criticality, which can be described as singular diffusions with or without (multiplicative) Wiener forcing term (as e.g. the Bak/Tang/Wiesenfeld- and Zhang-models), are analyzed. Existence and uniqueness of nonnegative strong solutions are proved. Previously numerically predicted transition to the critical state in 1-D is confirmed by a rigorous proof that this indeed happens in finite time with high probability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-13T12:29:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic partial differential equations",
      "self-organized criticality",
      "wiener forcing term",
      "singular diffusions",
      "nonnegative strong solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.2093B"
    }
  }
}