{
  "id": "cond-mat/0501522",
  "version": "v2",
  "published": "2005-01-21T14:17:08.000Z",
  "updated": "2006-05-04T13:31:21.000Z",
  "title": "Non-exponential relaxation for anomalous diffusion",
  "authors": [
    "Mendeli H. Vainstein",
    "Ismael V. L. Costa",
    "Rafael Morgado",
    "Fernando A. Oliveira"
  ],
  "comment": "6 pages, 2 figures",
  "journal": "Europhys. Lett., 73 (5), p. 726 (2006)",
  "doi": "10.1209/epl/i2005-10455-9",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We study the relaxation process in normal and anomalous diffusion regimes for systems described by a generalized Langevin equation (GLE). We demonstrate the existence of a very general correlation function which describes the relaxation phenomena. Such function is even; therefore, it cannot be an exponential or a stretched exponential. However, for a proper choice of the parameters, those functions can be reproduced within certain intervals with good precision. We also show the passage from the non-Markovian to the Markovian behaviour in the normal diffusion regime. For times longer than the relaxation time, the correlation function for anomalous diffusion becomes a power law for broad-band noise.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-05-04T13:31:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-exponential relaxation",
      "general correlation function",
      "normal diffusion regime",
      "markovian behaviour",
      "generalized langevin equation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}