{
  "id": "cond-mat/0103128",
  "version": "v1",
  "published": "2001-03-06T10:28:17.000Z",
  "updated": "2001-03-06T10:28:17.000Z",
  "title": "Fractional Langevin equation",
  "authors": [
    "E. Lutz"
  ],
  "comment": "4 pages",
  "doi": "10.1103/PhysRevE.64.051106",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We investigate fractional Brownian motion with a microscopic random-matrix model and introduce a fractional Langevin equation. We use the latter to study both sub- and superdiffusion of a free particle coupled to a fractal heat bath. We further compare fractional Brownian motion with the fractal time process. The respective mean-square displacements of these two forms of anomalous diffusion exhibit the same power-law behavior. Here we show that their lowest moments are actually all identical, except the second moment of the velocity. This provides a simple criterion which enables to distinguish these two non-Markovian processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-03-06T10:28:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional langevin equation",
      "compare fractional brownian motion",
      "fractal time process",
      "fractal heat bath",
      "microscopic random-matrix model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}