{
  "id": "1211.4427",
  "version": "v2",
  "published": "2012-11-19T14:15:27.000Z",
  "updated": "2013-10-04T12:00:17.000Z",
  "title": "Dynamic Statistical Scaling in the Landau-de Gennes Theory of Nematic Liquid Crystals",
  "authors": [
    "Eduard Kirr",
    "Mark Wilkinson",
    "Arghir Zarnescu"
  ],
  "comment": "31 pages; minor typos corrected; references added; margin overspill fixed",
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate the asymptotic behaviour of a correlation function associated with a nematic liquid crystal system undergoing an isotropic-nematic phase transition following an instantaneous change of temperature. Within the setting of Landau-de Gennes theory, we confirm a hypothesis in the condensed matter physics literature on the average self-similar behaviour of the correlation function in the asymptotic regime at time infinity. In the final sections, we comment on other possible scaling behaviour of the correlation function.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-04T12:00:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "landau-de gennes theory",
      "dynamic statistical scaling",
      "correlation function",
      "nematic liquid crystal system undergoing"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.4427K"
    }
  }
}