{
  "id": "cond-mat/0002084",
  "version": "v1",
  "published": "2000-02-06T23:38:24.000Z",
  "updated": "2000-02-06T23:38:24.000Z",
  "title": "One-Dimensional Stochastic Lévy-Lorentz Gas",
  "authors": [
    "E. Barkai",
    "V. Fleurov",
    "J. Klafter"
  ],
  "comment": "7 pages, 7 figures (to appear in PRE)",
  "doi": "10.1103/PhysRevE.61.1164",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We introduce a L\\'evy-Lorentz gas in which a light particle is scattered by static point scatterers arranged on a line. We investigate the case where the intervals between scatterers $\\{\\xi_i \\}$ are independent random variables identically distributed according to the probability density function $\\mu(\\xi )\\sim \\xi^{-(1 + \\gamma)}$. We show that under certain conditions the mean square displacement of the particle obeys $<x^2 (t) > \\ge C t^{3 - \\gamma}$ for $1 < \\gamma < 2$. This behavior is compatible with a renewal L\\'evy walk scheme. We discuss the importance of rare events in the proper characterization of the diffusion process.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-02-06T23:38:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-dimensional stochastic lévy-lorentz gas",
      "random variables",
      "renewal levy walk scheme",
      "probability density function",
      "static point scatterers"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}