{
  "id": "0909.0881",
  "version": "v2",
  "published": "2009-09-04T12:56:14.000Z",
  "updated": "2010-04-28T09:56:41.000Z",
  "title": "Foundation of Fractional Langevin Equation: Harmonization of a Many Body Problem",
  "authors": [
    "Ludvig Lizana",
    "Tobias Ambjornsson",
    "Alessandro Taloni",
    "Eli Barkai",
    "Michael A. Lomholt"
  ],
  "comment": "8 pages, 2 figures, REVTeX, revised with 4 appendices added, to appear in Physical Review E.",
  "journal": "Phys. Rev. E 81, 051118 (2010)",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "In this study we derive a single-particle equation of motion, from first-principles, starting out with a microscopic description of a tracer particle in a one-dimensional many-particle system with a general two-body interaction potential. Using a new harmonization technique, we show that the resulting dynamical equation belongs to the class of fractional Langevin equations, a stochastic framework which has been proposed in a large body of works as a means of describing anomalous dynamics. Our work sheds light on the fundamental assumptions of these phenomenological models.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-04-28T09:56:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.40.-a",
      "02.50.Ey",
      "82.37.-j"
    ],
    "keywords": [
      "fractional langevin equation",
      "body problem",
      "harmonization",
      "general two-body interaction potential",
      "foundation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "doi": "10.1103/PhysRevE.81.051118",
      "year": 2010,
      "month": "May",
      "volume": 81,
      "number": 5,
      "pages": "051118"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvE..81e1118L"
    }
  }
}