{
  "id": "cond-mat/0210447",
  "version": "v1",
  "published": "2002-10-21T08:08:16.000Z",
  "updated": "2002-10-21T08:08:16.000Z",
  "title": "p-Adic description of characteristic relaxation in complex systems",
  "authors": [
    "V. A. Avetisov",
    "A. Kh. Bikulov",
    "V. A. Osipov"
  ],
  "comment": "AMS-LaTeX (+iopart style), 9 pages, submitted to J.Phys.A",
  "doi": "10.1088/0305-4470/36/15/301",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "This work is a further development of an approach to the description of relaxation processes in complex systems on the basis of the p-adic analysis. We show that three types of relaxation fitted into the Kohlrausch-Williams-Watts law, the power decay law, or the logarithmic decay law, are similar random processes. Inherently, these processes are ultrametric and are described by the p-adic master equation. The physical meaning of this equation is explained in terms of a random walk constrained by a hierarchical energy landscape. We also discuss relations between the relaxation kinetics and the energy landscapes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-10-21T08:08:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex systems",
      "p-adic description",
      "characteristic relaxation",
      "energy landscape",
      "power decay law"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}