{
  "id": "0710.0601",
  "version": "v4",
  "published": "2007-10-02T18:57:40.000Z",
  "updated": "2008-05-07T09:20:58.000Z",
  "title": "Long time limit of equilibrium glassy dynamics and replica calculation",
  "authors": [
    "A. Crisanti"
  ],
  "comment": "25 pages, 12 Figures, RevTeX. Corrected misprints. Published version",
  "journal": "Nuclear Physics B 796 [FS], 425-456 (2008)",
  "doi": "10.1016/j.nuclphysb.2007.11.039",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "It is shown that the limit $t-t'\\to\\infty$ of the equilibrium dynamic self-energy can be computed from the $n\\to 1$ limit of the static self-energy of a $n$-times replicated system with one step replica symmetry breaking structure. It is also shown that the Dyson equation of the replicated system leads in the $n\\to 1$ limit to the bifurcation equation for the glass ergodicity breaking parameter computed from dynamics. The equivalence of the replica formalism to the long time limit of the equilibrium relaxation dynamics is proved to all orders in perturbation for a scalar theory.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2008-05-07T09:20:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.50.Gg",
      "03.50.-z",
      "65.60.+a"
    ],
    "keywords": [
      "long time limit",
      "equilibrium glassy dynamics",
      "replica calculation",
      "step replica symmetry breaking structure",
      "equilibrium dynamic self-energy"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nuclear Physics B",
      "year": 2008,
      "month": "Jun",
      "volume": 796,
      "number": 3,
      "pages": 425
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008NuPhB.796..425C"
    }
  }
}