{
  "id": "cond-mat/0403272",
  "version": "v1",
  "published": "2004-03-10T12:46:53.000Z",
  "updated": "2004-03-10T12:46:53.000Z",
  "title": "Duality and Effective Conductivity of Random Two-Phase Flat Systems",
  "authors": [
    "S. A. Bulgadaev"
  ],
  "comment": "9 pages, 1 figure, Latex2e",
  "journal": "Phys.Lett. A 313 (2003) 106 - 111",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "The possible functional forms of the effective conductivity sigma_e of the randomly inhomogeneous two-phase systems at arbitrary values of concentrations are discussed. Two explicit approximate expressions for effective conductivity are found using a duality relation, a series expansion of sigma_e in the inhomogeneity parameter z and some additional conjectures about functional form of sigma_e. They differ from the effective medium approximation, satisfy all necessary requirements and reproduce the known formulas for sigma_e in weakly inhomogeneous case. This can signify also that sigma_e of the two-phase randomly inhomogeneous systems may be a nonuniversal function, depending on some details of the structure of the random inhomogeneities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-03-10T12:46:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random two-phase flat systems",
      "effective conductivity",
      "functional form",
      "explicit approximate expressions",
      "two-phase randomly inhomogeneous systems"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004cond.mat..3272B"
    }
  }
}