{
  "id": "1602.07007",
  "version": "v1",
  "published": "2016-02-23T01:25:12.000Z",
  "updated": "2016-02-23T01:25:12.000Z",
  "title": "Distributional Behaviors of Time-averaged Observables in Langevin Equation with Fluctuating Diffusivity: Normal Diffusion but Anomalous Fluctuations",
  "authors": [
    "Takuma Akimoto",
    "Eiji Yamamoto"
  ],
  "comment": "6 pages, 3 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We consider Langevin equation with dichotomously fluctuating diffusivity, where the diffusion coefficient changes dichotomously in time, in order to study fluctuations of time-averaged observables in temporary heterogeneous diffusion process. We find that occupation time statistics is a powerful tool for calculating the time-averaged mean square displacement in the model. We show that the time-averaged diffusion coefficients are intrinsically random when the mean sojourn time for one of the states diverges. Our model provides anomalous fluctuations of time-averaged diffusivity, which have relevance to large fluctuations of the diffusion coefficient in single-particle-tracking experiments.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-23T01:25:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "langevin equation",
      "fluctuating diffusivity",
      "anomalous fluctuations",
      "time-averaged observables",
      "distributional behaviors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160207007A"
    }
  }
}