{
  "id": "1209.1504",
  "version": "v2",
  "published": "2012-09-07T11:49:20.000Z",
  "updated": "2016-05-27T16:05:28.000Z",
  "title": "A minimal model for short-time diffusion in periodic potentials",
  "authors": [
    "Clive Emary",
    "Robert Gernert",
    "Sabine H. L. Klapp"
  ],
  "comment": "8 pages, 6 figures",
  "journal": "Phys. Rev. E 86, 061135 (2012)",
  "doi": "10.1103/PhysRevE.86.061135",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We investigate the dynamics of a single, overdamped colloidal particle, which is driven by a constant force through a one-dimensional periodic potential. We focus on systems with large barrier heights where the lowest-order cumulants of the density field, that is, average position and the mean-squared displacement, show nontrivial (non-diffusive) short-time behavior characterized by the appearance of plateaus. We demonstrate that this \"cage-like\" dynamics can be well described by a discretized master equation model involving two states (related to two positions) within each potential valley. Non-trivial predictions of our approach include analytic expressions for the plateau heights and an estimate of the \"de-caging time\" obtained from the study of deviations from Gaussian behaviour. The simplicity of our approach means that it offers a minimal model to describe the short-time behavior of systems with hindered dynamics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-07T11:49:20.000Z"
    },
    {
      "version": "v2",
      "updated": "2016-05-27T16:05:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.40.-a",
      "05.60.-k",
      "02.50.Ey"
    ],
    "keywords": [
      "minimal model",
      "short-time diffusion",
      "short-time behavior",
      "one-dimensional periodic potential",
      "large barrier heights"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E",
      "year": 2012,
      "month": "Dec",
      "volume": 86,
      "number": 6,
      "pages": "061135"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvE..86f1135E"
    }
  }
}