{
  "id": "cond-mat/0505585",
  "version": "v1",
  "published": "2005-05-24T11:01:31.000Z",
  "updated": "2005-05-24T11:01:31.000Z",
  "title": "Random walk on p-$adics in glassy systems",
  "authors": [
    "K. Lukierska-Walasek",
    "K. Topolski"
  ],
  "comment": "7 pages, 1 figure",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We show that p-adic analysis provides a quite natural basis for the description of relaxation in hierarchical glassy systems. For our purposes, we specify the Markov stochastic process considered by S. Albeverio and W. Karwowski. As a result we have obtained a random walk on p-adic integer numbers, which provide the generalization of Cayley tree proposed by Ogielski and Stein. The temperature-dependent power-law decay and the Kohlrausch law are derived.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-05-24T11:01:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random walk",
      "quite natural basis",
      "temperature-dependent power-law decay",
      "p-adic integer numbers",
      "markov stochastic process"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}