{
  "id": "1304.6965",
  "version": "v1",
  "published": "2013-04-25T17:18:13.000Z",
  "updated": "2013-04-25T17:18:13.000Z",
  "title": "Using low moments of the Liouvillian to calculate mode lifetimes in low dimensional models",
  "authors": [
    "Yang Gao",
    "Doyl Dickel",
    "David Harrison",
    "Murray S. Daw"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "physics.class-ph",
    "physics.comp-ph"
  ],
  "abstract": "A recent proposal for practical calculation of vibrational mode lifetimes is tested on simple, low-dimensional anharmonic models. The proposed scheme approximates the mode lifetime in terms of ensemble averages of specific functions in phase-space; various levels of approximation correspond to ensemble moments of the Liouvillian. It is shown that, for systems where the vibrational density of states is well-approximated by a single broadened peak, the fourth-moment approximation works well over the full range of temperature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-25T17:18:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "low dimensional models",
      "low moments",
      "liouvillian",
      "vibrational mode lifetimes",
      "low-dimensional anharmonic models"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.6965G"
    }
  }
}