{
  "id": "cond-mat/0603137",
  "version": "v1",
  "published": "2006-03-06T14:41:58.000Z",
  "updated": "2006-03-06T14:41:58.000Z",
  "title": "The fluctuation-dissipation relation in an Ising model without detailed balance",
  "authors": [
    "Natascia Andrenacci",
    "Federico Corberi",
    "Eugenio Lippiello"
  ],
  "comment": "17 pages, 15 figures. To appear on Physical Review E",
  "journal": "Phys. Rev. E 73, 046124 (2006)",
  "doi": "10.1103/PhysRevE.73.046124",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider the modified Ising model introduced by de Oliveira et al. [J.Phys.A {\\bf 26}, 2317 (1993)], where the temperature depends locally on the spin configuration and detailed balance and local equilibrium are not obeyed. We derive a relation between the linear response function and correlation functions which generalizes the fluctuation-dissipation theorem. In the stationary states of the model, which are the counterparts of the Ising equilibrium states, the fluctuation-dissipation theorem breaks down due to the lack of time reversal invariance. In the non-stationary phase ordering kinetics the parametric plot of the integrated response function $\\chi (t,t_w)$ versus the autocorrelation function is different from that of the kinetic Ising model. However, splitting $\\chi (t,t_w)$ into a stationary and an aging term $\\chi (t,t_w)=\\chi_{st}(t-t_w)+\\chi_{ag}(t,t_w)$, we find $\\chi_{ag}(t,t_w)\\sim t_w^{-a_\\chi}f(t/t_w)$, and a numerical value of $a_\\chi $ consistent with $a_\\chi =1/4$, as in the kinetic Ising model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-06T14:41:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "detailed balance",
      "fluctuation-dissipation relation",
      "kinetic ising model",
      "linear response function",
      "fluctuation-dissipation theorem breaks"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}