{
  "id": "1111.3038",
  "version": "v1",
  "published": "2011-11-13T17:44:19.000Z",
  "updated": "2011-11-13T17:44:19.000Z",
  "title": "Subordination scenario of anomalous relaxation",
  "authors": [
    "Aleksander Stanislavsky",
    "Karina Weron"
  ],
  "comment": "14 pages, 3 figures",
  "journal": "Physics Letters A 373, 2520(2009)",
  "doi": "10.1016/j.physleta.2009.05.027",
  "categories": [
    "cond-mat.stat-mech",
    "physics.data-an"
  ],
  "abstract": "The non-exponential relaxation is shown to result from subordination by inverse tempered \\alpha-stable processes. The main feature of tempered \\alpha-stable processes is a finiteness of their moments, and the class of random processes includes ordinary \\alpha-stable processes as a particular case. Starting with the Cole-Cole response this subordination approach establishes its direct link with the Cole-Davidson law. We derive the relaxation function describing the tempered relaxation. The meaning of the empirical response function is clarified.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-13T17:44:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.40.-a",
      "05.60.-k",
      "05.40.Fb"
    ],
    "keywords": [
      "subordination scenario",
      "anomalous relaxation",
      "subordination approach establishes",
      "non-exponential relaxation",
      "relaxation function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physics Letters A",
      "year": 2009,
      "month": "Jul",
      "volume": 373,
      "number": 30,
      "pages": 2520
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009PhLA..373.2520S"
    }
  }
}