{
  "id": "0901.1875",
  "version": "v1",
  "published": "2009-01-14T01:23:47.000Z",
  "updated": "2009-01-14T01:23:47.000Z",
  "title": "Deterministic Walks in Quenched Random Environments of Chaotic Maps",
  "authors": [
    "Tapio Simula",
    "Mikko Stenlund"
  ],
  "comment": "18 pages, 9 figures",
  "journal": "J. Phys. A: Math. Theor. 42 (2009) 245101 (14pp)",
  "doi": "10.1088/1751-8113/42/24/245101",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This paper concerns the propagation of particles through a quenched random medium. In the one- and two-dimensional models considered, the local dynamics is given by expanding circle maps and hyperbolic toral automorphisms, respectively. The particle motion in both models is chaotic and found to fluctuate about a linear drift. In the proper scaling limit, the cumulative distribution function of the fluctuations converges to a Gaussian one with system dependent variance while the density function shows no convergence to any function. We have verified our analytical results using extreme precision numerical computations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-14T01:23:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "37D20",
      "82C41",
      "82D30"
    ],
    "keywords": [
      "quenched random environments",
      "chaotic maps",
      "deterministic walks",
      "hyperbolic toral automorphisms",
      "system dependent variance"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2009,
      "month": "Jun",
      "volume": 42,
      "number": 24,
      "pages": 245101
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JPhA...42x5101S"
    }
  }
}