{
  "id": "cond-mat/0311367",
  "version": "v1",
  "published": "2003-11-16T13:25:12.000Z",
  "updated": "2003-11-16T13:25:12.000Z",
  "title": "Largest Lyapunov exponent of long-range XY systems",
  "authors": [
    "Raul O. Vallejos",
    "Celia Anteneodo"
  ],
  "comment": "10 pages, 3 figures",
  "doi": "10.1016/j.physa.2004.04.005",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We calculate analytically the largest Lyapunov exponent of the so-called $\\alpha XY$ Hamiltonian in the high energy regime. This system consists of a $d$-dimensional lattice of classical spins with interactions that decay with distance following a power-law, the range being adjustable. In disordered regimes the Lyapunov exponent can be easily estimated by means of the \"stochastic approach\", a theoretical scheme based on van Kampen's cumulant expansion. The stochastic approach expresses the Lyapunov exponent as a function of a few statistical properties of the Hessian matrix of the interaction that can be calculated as suitable microcanonical averages. We have verified that there is a very good agreement between theory and numerical simulations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-16T13:25:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "largest lyapunov exponent",
      "long-range xy systems",
      "van kampens cumulant expansion",
      "high energy regime",
      "stochastic approach expresses"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}