{
  "id": "1211.1522",
  "version": "v2",
  "published": "2012-11-07T12:37:25.000Z",
  "updated": "2013-04-10T15:24:55.000Z",
  "title": "Nonequilibrium phase transitions in systems with long-range interactions",
  "authors": [
    "Tarcísio N. Teles",
    "Fernanda Benetti",
    "Renato Pakter",
    "Yan Levin"
  ],
  "comment": "5 pages, 3 figures, Accepted in Phys. Rev. Lett",
  "journal": "Phys. Rev. Lett. 109, 230601 (2012)",
  "doi": "10.1103/PhysRevLett.109.230601",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We introduce a generalized Hamiltonian Mean Field Model (gHMF)-XY model with both linear and quadratic coupling between spins and explicit Hamiltonian dynamics. In addition to the usual paramagnetic and ferromagnetic phases, this model also possesses a nematic phase. The gHMF can be solved explicitly using Boltzmann-Gibbs (BG) statistical mechanics, in both canonical and microcanonical ensembles. However, when the resulting microcanonical phase diagram is compared with the one obtained using molecular dynamics simulations, it is found that the two are very different. We will present a dynamical theory which allows us to explicitly calculate the phase diagram obtained using molecular dynamics simulations without any adjustable parameters. The model illustrates the fundamental role played by dynamics as well the inadequacy of BG statistics for systems with long-range forces in the thermodynamic limit.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-04-10T15:24:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Ln",
      "05.20.-y",
      "05.45.-a"
    ],
    "keywords": [
      "nonequilibrium phase transitions",
      "long-range interactions",
      "molecular dynamics simulations",
      "generalized hamiltonian mean field model",
      "phase diagram"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2012,
      "month": "Dec",
      "volume": 109,
      "number": 23,
      "pages": 230601
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvL.109w0601T"
    }
  }
}