{
  "id": "0709.2771",
  "version": "v1",
  "published": "2007-09-18T08:32:57.000Z",
  "updated": "2007-09-18T08:32:57.000Z",
  "title": "Interacting Brownian motions and the Gross-Pitaevskii formula",
  "authors": [
    "Stefan Adams",
    "Wolfgang König"
  ],
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We review probabilistic approaches to the Gross-Pitaevskii theory describing interacting dilute systems of particles. The main achievement are large deviations principles for the mean occupation measure of a large system of interacting Brownian motions in a trapping potential. The corresponding rate functions are given as variational problems whose solution provide effective descriptions of the infinite system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-18T08:32:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F10",
      "60J65",
      "82B10",
      "82B26"
    ],
    "keywords": [
      "interacting brownian motions",
      "gross-pitaevskii formula",
      "gross-pitaevskii theory describing interacting dilute",
      "theory describing interacting dilute systems",
      "review probabilistic approaches"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.2771A"
    }
  }
}