{
  "id": "1004.2389",
  "version": "v1",
  "published": "2010-04-14T13:25:12.000Z",
  "updated": "2010-04-14T13:25:12.000Z",
  "title": "Non-equilibrium Relations for Spin Glasses with Gauge Symmetry",
  "authors": [
    "Masayuki Ohzeki",
    "Hidetoshi Nishimori"
  ],
  "comment": "8 pages, 2 figures, submitted to JPSJ",
  "journal": "J. Phys. Soc. Jpn., Vol.79, No.8, p.084003 2010",
  "doi": "10.1143/JPSJ.79.084003",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the applications of non-equilibrium relations such as the Jarzynski equality and fluctuation theorem to spin glasses with gauge symmetry. It is shown that the exponentiated free-energy difference appearing in the Jarzynski equality reduces to a simple analytic function written explicitly in terms of the initial and final temperatures if the temperature satisfies a certain condition related to gauge symmetry. This result is used to derive a lower bound on the work done during the non-equilibrium process of temperature change. We also prove identities relating equilibrium and non-equilibrium quantities. These identities suggest a method to evaluate equilibrium quantities from non-equilibrium computations, which may be useful to avoid the problem of slow relaxation in spin glasses.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-04-14T13:25:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spin glasses",
      "gauge symmetry",
      "non-equilibrium relations",
      "jarzynski equality reduces",
      "simple analytic function written"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.2389O"
    }
  }
}