{
  "id": "1010.1896",
  "version": "v1",
  "published": "2010-10-10T06:05:43.000Z",
  "updated": "2010-10-10T06:05:43.000Z",
  "title": "The ground state energy of the three dimensional Ginzburg-Landau model in the mixed phase",
  "authors": [
    "Ayman Kachmar"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider the Ginzburg-Landau functional defined over a bounded and smooth three dimensional domain. Supposing that the strength of the applied magnetic field varies between the first and second critical fields, in such a way that $H_{C_1}\\ll H\\ll H_{C_2}$, we estimate the ground state energy to leading order as the Ginzburg-Landau parameter tends to infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-10T06:05:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ground state energy",
      "dimensional ginzburg-landau model",
      "mixed phase",
      "applied magnetic field varies",
      "ginzburg-landau parameter tends"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.1896K"
    }
  }
}