{
  "id": "1903.12500",
  "version": "v1",
  "published": "2019-03-29T13:03:13.000Z",
  "updated": "2019-03-29T13:03:13.000Z",
  "title": "On a universality class of anomalous diffusion",
  "authors": [
    "Juergen Vollmer",
    "Lamberto Rondoni",
    "Muhammad Tayyab",
    "Claudio Giberti",
    "Carlos-Mejia Monasterio"
  ],
  "comment": "11 pages, 5 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We show that when transport is asymptotically dominated by ballistic excursions the momentsof displacement exhibit a universal behaviour, and their values that can be obtained after an appropriate rescaling of the mean square displacement in terms of the asymptotic behaviour of a minimal transport model that be call Fly-and-Die. Furthermore, we show that this universality extends to the displacement correlation function. We obtain the statistical properties defining a universality class to which the details and nature of the dynamics are irrelevant. We support this by studying several models exhibiting strong anomalous diffusion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-29T13:03:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "universality class",
      "models exhibiting strong anomalous diffusion",
      "mean square displacement",
      "displacement correlation function",
      "minimal transport model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}