{
  "id": "cond-mat/0405086",
  "version": "v1",
  "published": "2004-05-05T13:30:24.000Z",
  "updated": "2004-05-05T13:30:24.000Z",
  "title": "On log--normal distribution on a comb structure",
  "authors": [
    "E. Baskin",
    "A. Iomin"
  ],
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We study specific properties of particles transport by exploring an exact solvable model, a so-called comb structure, where diffusive transport of particles leads to subdiffusion. A performance of L\\'evy -- like process enriches this transport phenomenon. It is shown that an inhomogeneous convection flow, as a realization of the L\\'evy--like process, leads to superdiffusion of particles on the comb structure. A frontier case of superdiffusion that corresponds to the exponentially fast transport is studied and the log--normal distribution is obtained for this case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-05-05T13:30:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "comb structure",
      "log-normal distribution",
      "study specific properties",
      "frontier case",
      "exponentially fast transport"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004cond.mat..5086B"
    }
  }
}