{
  "id": "cond-mat/0504630",
  "version": "v1",
  "published": "2005-04-25T12:23:50.000Z",
  "updated": "2005-04-25T12:23:50.000Z",
  "title": "Localization of elastic waves in heterogeneous media with off-diagonal disorder and long-range correlations",
  "authors": [
    "F. Shahbazi",
    "Alireza Bahraminasab",
    "S. Mehdi Vaez Allaei",
    "Muhammad Sahimi",
    "M. Reza Rahimi Tabar"
  ],
  "comment": "5 pages, 4 figures, to appear in Phys. Rev. Lett",
  "doi": "10.1103/PhysRevLett.94.165505",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "Using the Martin-Siggia-Rose method, we study propagation of acoustic waves in strongly heterogeneous media which are characterized by a broad distribution of the elastic constants. Gaussian-white distributed elastic constants, as well as those with long-range correlations with non-decaying power-law correlation functions, are considered. The study is motivated in part by a recent discovery that the elastic moduli of rock at large length scales may be characterized by long-range power-law correlation functions. Depending on the disorder, the renormalization group (RG) flows exhibit a transition to localized regime in {\\it any} dimension. We have numerically checked the RG results using the transfer-matrix method and direct numerical simulations for one- and two-dimensional systems, respectively.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-04-25T12:23:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long-range correlations",
      "heterogeneous media",
      "off-diagonal disorder",
      "elastic waves",
      "localization"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}