{
  "id": "0704.1123",
  "version": "v2",
  "published": "2007-04-09T16:07:40.000Z",
  "updated": "2007-07-17T22:47:16.000Z",
  "title": "Conjugate field and fluctuation-dissipation relation for the dynamic phase transition in the two-dimensional kinetic Ising model",
  "authors": [
    "D. T. Robb",
    "P. A. Rikvold",
    "A. Berger",
    "M. A. Novotny"
  ],
  "comment": "revised version; 31 pages, 12 figures; accepted by Phys. Rev. E",
  "journal": "Phys. Rev. E 76, 021124 (2007) (10 pages)",
  "doi": "10.1103/PhysRevE.76.021124",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The two-dimensional kinetic Ising model, when exposed to an oscillating applied magnetic field, has been shown to exhibit a nonequilibrium, second-order dynamic phase transition (DPT), whose order parameter Q is the period-averaged magnetization. It has been established that this DPT falls in the same universality class as the equilibrium phase transition in the two-dimensional Ising model in zero applied field. Here we study for the first time the scaling of the dynamic order parameter with respect to a nonzero, period-averaged, magnetic `bias' field, H_b, for a DPT produced by a square-wave applied field. We find evidence that the scaling exponent, \\delta_d, of H_b at the critical period of the DPT is equal to the exponent for the critical isotherm, \\delta_e, in the equilibrium Ising model. This implies that H_b is a significant component of the field conjugate to Q. A finite-size scaling analysis of the dynamic order parameter above the critical period provides further support for this result. We also demonstrate numerically that, for a range of periods and values of H_b in the critical region, a fluctuation-dissipation relation (FDR), with an effective temperature T_{eff}(T, P, H_0) depending on the period, and possibly the temperature and field amplitude, holds for the variables Q and H_b. This FDR justifies the use of the scaled variance of Q as a proxy for the nonequilibrium susceptibility, \\partial<Q> / \\partial H_b, in the critical region.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-07-17T22:47:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Ln",
      "64.60.Ht",
      "89.75.Da",
      "75.70.Cn"
    ],
    "keywords": [
      "two-dimensional kinetic ising model",
      "dynamic phase transition",
      "fluctuation-dissipation relation",
      "conjugate field",
      "dynamic order parameter"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2007,
      "month": "Aug",
      "volume": 76,
      "number": 2,
      "pages": "021124"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1215824,
      "adsabs": "2007PhRvE..76b1124R"
    }
  }
}