{
  "id": "cond-mat/0005504",
  "version": "v1",
  "published": "2000-05-29T14:46:20.000Z",
  "updated": "2000-05-29T14:46:20.000Z",
  "title": "Path Integral Approach to Strongly Nonlinear Composite",
  "authors": [
    "Marc Barthelemy"
  ],
  "comment": "4 pages, 1 figure, to appear in Phys. Rev. B",
  "journal": "Phys. Rev. B 62 (2000) 8576.",
  "doi": "10.1103/PhysRevB.62.8576",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mtrl-sci",
    "cond-mat.stat-mech"
  ],
  "abstract": "We study strongly nonlinear disordered media using a functional method. We solve exactly the problem of a nonlinear impurity in a linear host and we obtain a Bruggeman-like formula for the effective nonlinear susceptibility. This formula reduces to the usual Bruggeman effective medium approximation in the linear case and has the following features: (i) It reproduces the weak contrast expansion to the second order and (ii) the effective medium exponent near the percolation threshold are $s=1$, $t=1+\\kappa$, where $\\kappa$ is the nonlinearity exponent. Finally, we give analytical expressions for previously numerically calculated quantities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-05-29T14:46:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "path integral approach",
      "strongly nonlinear composite",
      "usual bruggeman effective medium approximation",
      "study strongly nonlinear disordered media"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}