{
  "id": "0710.0517",
  "version": "v1",
  "published": "2007-10-02T12:54:10.000Z",
  "updated": "2007-10-02T12:54:10.000Z",
  "title": "The notion of persistence applied to breathers in thermal equilibrium",
  "authors": [
    "Jean Farago"
  ],
  "comment": "submitted to Physica D",
  "doi": "10.1016/j.physd.2008.01.008",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the thermal equilibrium of nonlinear Klein-Gordon chains at the limit of small coupling (anticontinuum limit). We show that the persistence distribution associated to the local energy density is a useful tool to study the statistical distribution of so-called thermal breathers, mainly when the equilibrium is characterized by long-lived static excitations; in that case, the distribution of persistence intervals turns out to be a powerlaw. We demonstrate also that this generic behaviour has a counterpart in the power spectra, where the high frequencies domains nicely collapse if properly rescaled. These results are also compared to non linear Klein-Gordon chains with a soft nonlinearity, for which the thermal breathers are rather mobile entities. Finally, we discuss the possibility of a breather-induced anomalous diffusion law, and show that despite a strong slowing-down of the energy diffusion, there are numerical evidences for a normal asymptotic diffusion mechanism, but with exceptionnally small diffusion coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-02T12:54:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "thermal equilibrium",
      "persistence",
      "normal asymptotic diffusion mechanism",
      "high frequencies domains nicely collapse",
      "thermal breathers"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physica D Nonlinear Phenomena",
      "year": 2008,
      "month": "Jun",
      "volume": 237,
      "number": 8,
      "pages": 1013
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhyD..237.1013F"
    }
  }
}