{
  "id": "cond-mat/0407662",
  "version": "v1",
  "published": "2004-07-26T08:11:10.000Z",
  "updated": "2004-07-26T08:11:10.000Z",
  "title": "Links between nonlinear dynamics and statistical mechanics in a simple one-dimensional model",
  "authors": [
    "Hicham Qasmi",
    "Julien Barre'",
    "Thierry Dauxois"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "nlin.CD"
  ],
  "abstract": "We consider the links between nonlinear dynamics and thermodynamics in the framework of a simple nonlinear model for DNA. Two analyses of the phase transition, either with the transfer integral approach or by considering the instability of a nonlinear particular solution, are discussed. Conversely, the computation of the largest Lyapunov exponent is obtained within a thermodynamic treatment. Differences with the Peyrard-Bishop model are also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-07-26T08:11:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple one-dimensional model",
      "nonlinear dynamics",
      "statistical mechanics",
      "simple nonlinear model",
      "largest lyapunov exponent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004cond.mat..7662Q"
    }
  }
}