{
  "id": "1304.2922",
  "version": "v2",
  "published": "2013-04-10T12:12:02.000Z",
  "updated": "2013-04-29T09:37:27.000Z",
  "title": "Universal threshold for the dynamical behavior of lattice systems with long-range interactions",
  "authors": [
    "Romain Bachelard",
    "Michael Kastner"
  ],
  "comment": "8 pages, 8 figures",
  "journal": "Phys. Rev. Lett 110, 170603 (2013)",
  "doi": "10.1103/PhysRevLett.110.170603",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "Dynamical properties of lattice systems with long-range pair interactions, decaying like 1/r^{\\alpha} with the distance r, are investigated, in particular the time scales governing the relaxation to equilibrium. Upon varying the interaction range \\alpha, we find evidence for the existence of a threshold at \\alpha=d/2, dependent on the spatial dimension d, at which the relaxation behavior changes qualitatively and the corresponding scaling exponents switch to a different regime. Based on analytical as well as numerical observations in systems of vastly differing nature, ranging from quantum to classical, from ferromagnetic to antiferromagnetic, and including a variety of lattice structures, we conjecture this threshold and some of its characteristic properties to be universal.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-04-29T09:37:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Ln",
      "05.50.+q",
      "75.10.Hk",
      "75.10.Jm"
    ],
    "keywords": [
      "lattice systems",
      "universal threshold",
      "long-range interactions",
      "dynamical behavior",
      "long-range pair interactions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2013,
      "month": "Apr",
      "volume": 110,
      "number": 17,
      "pages": 170603
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhRvL.110q0603B"
    }
  }
}