{
  "id": "cond-mat/0211562",
  "version": "v1",
  "published": "2002-11-25T17:34:53.000Z",
  "updated": "2002-11-25T17:34:53.000Z",
  "title": "Single-File Diffusion of Atomic and Colloidal Systems: Asymptotic Laws",
  "authors": [
    "Markus Kollmann"
  ],
  "comment": "4 pages",
  "doi": "10.1103/PhysRevLett.90.180602",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "In this work we present a general derivation of the non-Fickian behavior for the self-diffusion of identically interacting particle systems with excluded mutual passage. We show that the conditional probability distribution of finding a particle at position $x_{t}$ after time $t$, when the particle was located at $x_{0}$ at $t=0$, follows a Gaussian distribution in the long-time limit, with variance $2W(t)\\sim t^{1/2}$ for overdamped systems and with variance $2W(t)\\sim t$ for classical systems. The asymptotic behavior of the mean-squared displacement, $W(t)$, is shown to be independent of the nature of interactions for homogeneous systems in the fluid state. Moreover, the long-time behavior of self-diffusion is determined by short-time and large scale collective density fluctuations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-25T17:34:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "colloidal systems",
      "asymptotic laws",
      "single-file diffusion",
      "large scale collective density fluctuations",
      "conditional probability distribution"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}