{
  "id": "cond-mat/0012215",
  "version": "v3",
  "published": "2000-12-12T22:30:19.000Z",
  "updated": "2002-09-17T09:43:44.000Z",
  "title": "Dynamical approach to the microcanonical ensemble",
  "authors": [
    "Xavier Leoncini",
    "Alberto D. Verga"
  ],
  "comment": "5 pages, 4 figures, RevTex",
  "journal": "Phys. Rev. E, 64, 066101 (2001)",
  "doi": "10.1103/PhysRevE.64.066101",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "An analytical method to compute thermodynamic properties of a given Hamiltonian system is proposed. This method combines ideas of both dynamical systems and ensemble approaches to thermodynamics, providing de facto a possible alternative to traditional Ensemble methods. Thermodynamic properties are extracted from effective motion equations. These equations are obtained by introducing a general variational principle applied to an action averaged over a statistical ensemble of paths defined on the constant energy surface. The method is applied first to the one dimensional (\\beta)-FPU chain and to the two dimensional lattice (\\phi ^{4}) model. In both cases the method gives a good insight of some of their statistical and dynamical properties.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-09-17T09:43:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynamical approach",
      "microcanonical ensemble",
      "thermodynamic properties",
      "constant energy surface",
      "hamiltonian system"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}