{
  "id": "cond-mat/9806302",
  "version": "v1",
  "published": "1998-06-25T13:07:31.000Z",
  "updated": "1998-06-25T13:07:31.000Z",
  "title": "A Path Integral Approach to Effective Non-Linear Medium",
  "authors": [
    "Marc Barthelemy",
    "Henri Orland"
  ],
  "comment": "7 pages",
  "journal": "European Physical Journal B (6) 537 (1998)",
  "doi": "10.1007/s100510050581",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mtrl-sci",
    "cond-mat.stat-mech"
  ],
  "abstract": "In this article, we propose a new method to compute the effective properties of non-linear disordered media. We use the fact that the effective constants can be defined through the minimum of an energy functional. We express this minimum in terms of a path integral allowing us to use many-body techniques. We obtain the perturbation expansion of the effective constants to second order in disorder, for any kind of non-linearity. We apply our method to both cases of strong and weak non-linearities. Our results are in agreement with previous ones, and could be easily extended to other types of non-linear problems in disordered systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-06-25T13:07:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "path integral approach",
      "effective non-linear medium",
      "effective constants",
      "energy functional",
      "non-linear problems"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}