{
  "id": "cond-mat/0403256",
  "version": "v1",
  "published": "2004-03-09T20:32:35.000Z",
  "updated": "2004-03-09T20:32:35.000Z",
  "title": "On the effective conductivity of flat random two-phase models",
  "authors": [
    "S. A. Bulgadaev"
  ],
  "comment": "8 pages, 2 figures, Latex2e",
  "journal": "Europhys.Lett. 64 (2003) 482 - 488",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "An approximate equation for the effective conductivity sigma_eff of systems with a finite maximal scale of inhomogeneities is deduced. An exact solution of this equation is found and its physical meaning is discussed. A two-phase randomly inhomogeneous model is constructed by a hierarchical method and its effective conductivity at arbitrary phase concentrations is found in the mean-field-like approximation. These expressions satisfy all the necessary symmetries, reproduce the known formulas for sigma_eff in the weakly inhomogeneous case and coincide with two recently found partial solutions of the duality relation. It means that sigma_eff even of two-phase randomly inhomogeneous system may be a nonuniversal function and can depend on some details of the structure of the inhomogeneous regions. The percolation limit is briefly discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-03-09T20:32:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "flat random two-phase models",
      "effective conductivity",
      "arbitrary phase concentrations",
      "finite maximal scale",
      "exact solution"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004cond.mat..3256B"
    }
  }
}