{
  "id": "1312.1274",
  "version": "v1",
  "published": "2013-12-04T18:38:32.000Z",
  "updated": "2013-12-04T18:38:32.000Z",
  "title": "Weakly driven anomalous diffusion in non-ergodic regime: an analytical solution",
  "authors": [
    "Mauro Bologna",
    "Gerardo Aquino"
  ],
  "comment": "7 pages, 4 figures",
  "journal": "Eur. Phys. J. B (2014) 87: 15",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We derive the probability density of a diffusion process generated by nonergodic velocity fluctuations in presence of a weak potential, using the Liouville equation approach. The velocity of the diffusing particle undergoes dichotomic fluctuations with a given distribution $\\psi(\\tau)$ of residence times in each velocity state. We obtain analytical solutions for the diffusion process in a generic external potential and for a generic statistics of residence times, including the non-ergodic regime in which the mean residence time diverges. We show that these analytical solutions are in agreement with numerical simulations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-04T18:38:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weakly driven anomalous diffusion",
      "analytical solution",
      "non-ergodic regime",
      "diffusing particle undergoes dichotomic fluctuations",
      "diffusion process"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1140/epjb/e2013-40701-3",
      "journal": "European Physical Journal B",
      "year": 2014,
      "month": "Jan",
      "volume": 87,
      "number": 1,
      "pages": 15
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014EPJB...87...15B"
    }
  }
}