{
  "id": "cond-mat/0007129",
  "version": "v3",
  "published": "2000-07-07T12:12:31.000Z",
  "updated": "2001-03-13T16:53:34.000Z",
  "title": "Noisy random resistor networks: renormalized field theory for the multifractal moments of the current distribution",
  "authors": [
    "Olaf Stenull",
    "Hans-Karl Janssen"
  ],
  "comment": "30 pages, 6 figures",
  "journal": "Phys. Rev. E 63, 036103 (2001)",
  "doi": "10.1103/PhysRevE.63.036103",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the multifractal moments of the current distribution in randomly diluted resistor networks near the percolation treshold. When an external current is applied between to terminals $x$ and $x^\\prime$ of the network, the $l$th multifractal moment scales as $M_I^{(l)} (x, x^\\prime) \\sim | x - x^\\prime |^{\\psi_l /\\nu}$, where $\\nu$ is the correlation length exponent of the isotropic percolation universality class. By applying our concept of master operators [Europhys. Lett. {\\bf 51}, 539 (2000)] we calculate the family of multifractal exponents $\\{\\psi_l \\}$ for $l \\geq 0$ to two-loop order. We find that our result is in good agreement with numerical data for three dimensions.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2001-03-13T16:53:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "noisy random resistor networks",
      "renormalized field theory",
      "current distribution",
      "isotropic percolation universality class",
      "th multifractal moment scales"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}