{
  "id": "cond-mat/0012457",
  "version": "v1",
  "published": "2000-12-25T11:04:18.000Z",
  "updated": "2000-12-25T11:04:18.000Z",
  "title": "Absence of self-averaging in the complex admittance for transport through random media",
  "authors": [
    "Mitsuhiro Kawasaki",
    "Takashi Odagaki",
    "Klaus W. Kehr"
  ],
  "comment": "7 pages, 2 figures, published in Phys. Rev. B",
  "journal": "Phys. Rev. B 61 (2000) 5839",
  "doi": "10.1103/PhysRevB.61.5839",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "A random walk model in a one dimensional disordered medium with an oscillatory input current is presented as a generic model of boundary perturbation methods to investigate properties of a transport process in a disordered medium. It is rigorously shown that an admittance which is equal to the Fourier-Laplace transform of the first-passage time distribution is non-self-averaging when the disorder is strong. The low frequency behavior of the disorder-averaged admittance, $<\\chi > -1 \\sim \\omega^{\\mu}$ where $\\mu < 1$, does not coincide with the low frequency behavior of the admittance for any sample, $\\chi - 1 \\sim \\omega$. It implies that the Cole-Cole plot of $<\\chi>$ appears at a different position from the Cole-Cole plots of $\\chi$ of any sample. These results are confirmed by Monte-Carlo simulations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-12-25T11:04:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex admittance",
      "random media",
      "low frequency behavior",
      "cole-cole plot",
      "oscillatory input current"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}