{
  "id": "2005.02095",
  "version": "v1",
  "published": "2020-05-05T12:15:15.000Z",
  "updated": "2020-05-05T12:15:15.000Z",
  "title": "First passage time moments of asymmetric Lévy flights",
  "authors": [
    "Amin Padash",
    "Aleksei V. Chechkin",
    "Bartłomiej Dybiec",
    "Marcin Magdziarz",
    "Babak Shokri",
    "Ralf Metzler"
  ],
  "comment": "47 pages, 13 figures, IOP LaTeX",
  "categories": [
    "cond-mat.stat-mech",
    "physics.bio-ph",
    "q-bio.QM"
  ],
  "abstract": "We investigate the first-passage dynamics of symmetric and asymmetric L\\'evy flights in a semi-infinite and bounded intervals. By solving the space-fractional diffusion equation, we analyse the fractional-order moments of the first-passage time probability density function for different values of the index of stability and the skewness parameter. A comparison with results using the Langevin approach to L\\'evy flights is presented. For the semi-infinite domain, in certain special cases analytic results are derived explicitly, and in bounded intervals a general analytical expression for the mean first-passage time of L\\'evy flights with arbitrary skewness is presented. These results are complemented with extensive numerical analyses.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-05T12:15:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first passage time moments",
      "asymmetric lévy flights",
      "levy flights",
      "first-passage time probability density function",
      "special cases analytic results"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}