{
  "id": "1111.6383",
  "version": "v2",
  "published": "2011-11-28T09:53:12.000Z",
  "updated": "2013-10-05T16:51:24.000Z",
  "title": "Small perturbation of a disordered harmonic chain by a noise and an anharmonic potential",
  "authors": [
    "Cédric Bernardin",
    "François Huveneers"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the thermal properties of a pinned disordered harmonic chain weakly perturbed by a noise and an anharmonic potential. The noise is controlled by a parameter $\\lambda \\rightarrow 0$, and the anharmonicity by a parameter $\\lambda' \\le \\lambda$. Let $\\kappa$ be the conductivity of the chain, defined through the Green-Kubo formula. Under suitable hypotheses, we show that $\\kappa = \\mathcal O (\\lambda)$ and, in the absence of anharmonic potential, that $\\kappa \\sim \\lambda$. This is in sharp contrast with the ordered chain for which $\\kappa \\sim 1/\\lambda$, and so shows the persitence of localization effects for a non-integrable dynamics.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-05T16:51:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "anharmonic potential",
      "small perturbation",
      "localization effects",
      "pinned disordered harmonic chain",
      "green-kubo formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.6383B"
    }
  }
}