{
  "id": "0704.2171",
  "version": "v2",
  "published": "2007-04-17T15:05:27.000Z",
  "updated": "2007-10-05T17:05:15.000Z",
  "title": "Fluctuation-induced interactions between dielectrics in general geometries",
  "authors": [
    "S. Pasquali",
    "A. C. Maggs"
  ],
  "doi": "10.1063/1.2949508",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft",
    "physics.comp-ph",
    "quant-ph"
  ],
  "abstract": "We study thermal Casimir and quantum non-retarded Lifshitz interactions between dielectrics in general geometries. We map the calculation of the classical partition function onto a determinant which we discretize and evaluate with the help of Cholesky factorization. The quantum partition function is treated by path integral quantization of a set of interacting dipoles and reduces to a product of determinants. We compare the approximations of pairwise additivity and proximity force with our numerical methods. We propose a ``factorization approximation'' which gives rather good numerical results in the geometries that we study.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-10-05T17:05:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.-w",
      "02.40.-k",
      "77.22.Ch",
      "02.10.Yn",
      "05.40.-a"
    ],
    "keywords": [
      "general geometries",
      "fluctuation-induced interactions",
      "dielectrics",
      "quantum non-retarded lifshitz interactions",
      "path integral quantization"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Chemical Physics",
      "year": 2008,
      "month": "Jul",
      "volume": 129,
      "number": 1,
      "pages": 4703
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JChPh.129a4703P"
    }
  }
}