{
  "id": "1112.5521",
  "version": "v1",
  "published": "2011-12-23T06:28:29.000Z",
  "updated": "2011-12-23T06:28:29.000Z",
  "title": "Distributional Response to Biases in Deterministic Superdiffusion",
  "authors": [
    "Takuma Akimoto"
  ],
  "comment": "13 pages, 5 figures",
  "journal": "Phys. Rev. Lett. 108, 164101 (2012)",
  "doi": "10.1103/PhysRevLett.108.164101",
  "categories": [
    "cond-mat.stat-mech",
    "nlin.CD"
  ],
  "abstract": "We report on a novel response to biases in deterministic superdiffusion. For its reduced map, we show using infinite ergodic theory that the time-averaged velocity (TAV) is intrinsically random and its distribution obeys the generalized arc-sine distribution. A distributional limit theorem indicates that the TAV response to a bias appears in the distribution, which is an example of what we term a distributional response induced by a bias. Although this response in single trajectories is intrinsically random, the ensemble-averaged TAV response is linear.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-23T06:28:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.45.Ac",
      "05.40.Fb",
      "87.15.Vv"
    ],
    "keywords": [
      "distributional response",
      "deterministic superdiffusion",
      "infinite ergodic theory",
      "distributional limit theorem",
      "intrinsically random"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2012,
      "month": "Apr",
      "volume": 108,
      "number": 16,
      "pages": 164101
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvL.108p4101A"
    }
  }
}