{
  "id": "1712.04996",
  "version": "v1",
  "published": "2017-12-13T20:26:35.000Z",
  "updated": "2017-12-13T20:26:35.000Z",
  "title": "First passage time for superstatistical Fokker-Planck models",
  "authors": [
    "Adrián A. Budini",
    "Manuel O. Cáceres"
  ],
  "comment": "9 pages, 1 figure",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The first passage time (FPT) problem is studied for superstatistical models assuming that the mesoscopic system dynamics is described by a Fokker-Planck equation. We show that all moments of the random intensive parameter associated to the superstatistical approach can be put in one-to-one correspondence with the moments of the FPT. For systems subjected to an additional uncorrelated external force, the same statistical information is obtained from the dependence of the FPT-moments on the external force. These results provide an alternative technique for checking the validity of superstatistical models. As an example, we characterize the mean FPT for a forced Brownian particle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-13T20:26:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first passage time",
      "superstatistical fokker-planck models",
      "mesoscopic system dynamics",
      "superstatistical models",
      "additional uncorrelated external force"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}