{
  "id": "0711.1130",
  "version": "v3",
  "published": "2007-11-07T20:27:56.000Z",
  "updated": "2008-07-03T09:11:32.000Z",
  "title": "Random walks in a random environment on a strip: a renormalization group approach",
  "authors": [
    "Róbert Juhász"
  ],
  "comment": "9 pages",
  "journal": "J. Phys. A: Math. Theor. 41 (2008) 315001",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We present a real space renormalization group scheme for the problem of random walks in a random environment on a strip, which includes one-dimensional random walk in random environment with bounded non-nearest-neighbor jumps. We show that the model renormalizes to an effective one-dimensional random walk problem with nearest-neighbor jumps and conclude that Sinai scaling is valid in the recurrent case, while in the sub-linear transient phase, the displacement grows as a power of the time.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-07-03T09:11:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "renormalization group approach",
      "random environment",
      "real space renormalization group scheme",
      "effective one-dimensional random walk problem"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/41/31/315001",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2008,
      "month": "Aug",
      "volume": 41,
      "number": 31,
      "pages": 315001
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JPhA...41.5001J"
    }
  }
}