{
  "id": "1012.5786",
  "version": "v1",
  "published": "2010-12-28T16:14:06.000Z",
  "updated": "2010-12-28T16:14:06.000Z",
  "title": "Time transformation for random walks in the quenched trap model",
  "authors": [
    "S. Burov",
    "E. Barkai"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Diffusion in the quenched trap model is investigated with an approach we call weak subordination breaking. We map the problem onto Brownian motion and show that the operational time is ${\\cal S}_\\alpha = \\sum_{x=-\\infty} ^\\infty (n_x)^\\alpha$ where $n_x$ is the visitation number at site $x$ . In the limit of zero temperature we recover the renormalization group (RG) solution found by Monthus. Our approach is an alternative to RG capable of dealing with any disorder strength.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-28T16:14:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.40.Fb",
      "02.50.-r",
      "05.40.Jc",
      "46.65.+g"
    ],
    "keywords": [
      "quenched trap model",
      "random walks",
      "time transformation",
      "disorder strength",
      "weak subordination"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevLett.106.140602",
      "journal": "Physical Review Letters",
      "year": 2011,
      "month": "Apr",
      "volume": 106,
      "number": 14,
      "pages": 140602
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011PhRvL.106n0602B"
    }
  }
}