{
  "id": "cond-mat/0102327",
  "version": "v1",
  "published": "2001-02-19T13:24:09.000Z",
  "updated": "2001-02-19T13:24:09.000Z",
  "title": "Lyapunov exponents as a dynamical indicator of a phase transition",
  "authors": [
    "Julien Barre",
    "Thierry Dauxois"
  ],
  "comment": "8 Pages, 3 Figures",
  "journal": "Europhysics Letters 55, 154 (2001)",
  "doi": "10.1209/epl/i2001-00396-3",
  "categories": [
    "cond-mat.stat-mech",
    "nlin.CD"
  ],
  "abstract": "We study analytically the behavior of the largest Lyapunov exponent $\\lambda_1$ for a one-dimensional chain of coupled nonlinear oscillators, by combining the transfer integral method and a Riemannian geometry approach. We apply the results to a simple model, proposed for the DNA denaturation, which emphasizes a first order-like or second order phase transition depending on the ratio of two length scales: this is an excellent model to characterize $\\lambda_1$ as a dynamical indicator close to a phase transition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-02-19T13:24:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynamical indicator",
      "second order phase transition depending",
      "transfer integral method",
      "largest lyapunov exponent",
      "riemannian geometry approach"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}