{
  "id": "1707.05072",
  "version": "v1",
  "published": "2017-07-17T10:09:00.000Z",
  "updated": "2017-07-17T10:09:00.000Z",
  "title": "From Quenched Disorder to Continuous Time Random Walk",
  "authors": [
    "Stanislav Burov"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "This work focuses on quantitative representation of transport in systems with quenched disorder. Explicit mapping of the quenched trap model to continuous time random walk is presented. Linear temporal transformation: $t\\to t/\\Lambda^\\alpha$ for transient process on translationally invariant lattice, in the sub-diffusive regime, is sufficient for asymptotic mapping. Exact form of the constant $\\Lambda^\\alpha$ is established. Disorder averaged position probability density function for quenched trap model is obtained and analytic expressions for the diffusion coefficient and drift are provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-17T10:09:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuous time random walk",
      "quenched disorder",
      "quenched trap model",
      "averaged position probability density function",
      "disorder averaged position probability density"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}