{
  "id": "0706.4320",
  "version": "v1",
  "published": "2007-06-28T20:52:54.000Z",
  "updated": "2007-06-28T20:52:54.000Z",
  "title": "Realization of Levy flights as continuous processes",
  "authors": [
    "Ihor Lubashevsky",
    "Rudolf Friedrich",
    "Andreas Heuer"
  ],
  "comment": "paper of 5 pages with 3 figures with added supplementary materials",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "On the basis of multivariate Langevin processes we present a realization of Levy flights as a continuous process. For the simple case of a particle moving under the influence of friction and a velocity dependent stochastic force we explicitly derive the generalized Langevin equation and the corresponding generalized Fokker-Planck equation describing Levy flights. Our procedure is similar to the treatment of the Kramers-Fokker Planck equation in the Smoluchowski limit. The proposed approach forms a feasible way of tackling Levy flights in inhomogeneous media or systems with boundaries what is up to now a challenging problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-28T20:52:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuous processes",
      "realization",
      "fokker-planck equation describing levy flights",
      "velocity dependent stochastic force",
      "multivariate langevin processes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.4320L"
    }
  }
}