{
  "id": "cond-mat/0301588",
  "version": "v1",
  "published": "2003-01-30T11:40:27.000Z",
  "updated": "2003-01-30T11:40:27.000Z",
  "title": "Dynamic structure factor of the Ising model with purely relaxational dynamics",
  "authors": [
    "P. Calabrese",
    "V. Martin-Mayor",
    "A. Pelissetto",
    "E. Vicari"
  ],
  "comment": "21 pages, 3 figures",
  "journal": "Phys.Rev. E68 (2003) 016110",
  "doi": "10.1103/PhysRevE.68.016110",
  "categories": [
    "cond-mat.stat-mech",
    "hep-lat"
  ],
  "abstract": "We compute the dynamic structure factor for the Ising model with a purely relaxational dynamics (model A). We perform a perturbative calculation in the $\\epsilon$ expansion, at two loops in the high-temperature phase and at one loop in the temperature magnetic-field plane, and a Monte Carlo simulation in the high-temperature phase. We find that the dynamic structure factor is very well approximated by its mean-field Gaussian form up to moderately large values of the frequency $\\omega$ and momentum $k$. In the region we can investigate, $k\\xi \\lesssim 5$, $\\omega \\tau \\lesssim 10$, where $\\xi$ is the correlation length and $\\tau$ the zero-momentum autocorrelation time, deviations are at most of a few percent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-01-30T11:40:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynamic structure factor",
      "purely relaxational dynamics",
      "ising model",
      "high-temperature phase",
      "zero-momentum autocorrelation time"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 612618
    }
  }
}