{
  "id": "1404.6896",
  "version": "v1",
  "published": "2014-04-28T08:29:01.000Z",
  "updated": "2014-04-28T08:29:01.000Z",
  "title": "Langevin Equation on Fractal Curves",
  "authors": [
    "Seema Satin",
    "A. D. Gangal"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We analyse a random motion of a particle on a fractal curve, using Langevin approach. This involves defining a new velocity in terms of mass of the fractal curve, as defined in recent work. The geometry of the fractal curve, hence plays an important role in this analysis. A Langevin equation with a particular noise model is thus proposed and solved using techniques of the newly developed $F^\\alpha$-Calculus .",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-28T08:29:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractal curve",
      "langevin equation",
      "random motion",
      "langevin approach",
      "important role"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.6896S"
    }
  }
}