{
  "id": "cond-mat/0603038",
  "version": "v1",
  "published": "2006-03-02T06:07:13.000Z",
  "updated": "2006-03-02T06:07:13.000Z",
  "title": "Dynamic critical exponents of Swendsen-Wang and Wolff algorithms by nonequilibrium relaxation",
  "authors": [
    "Jianqing Du",
    "Bo Zheng",
    "Jian-Sheng Wang"
  ],
  "comment": "13 pages, 6 figures",
  "journal": "J.Stat.Mech.0605:P05004,2006",
  "doi": "10.1088/1742-5468/2006/05/P05004",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "With a nonequilibrium relaxation method, we calculate the dynamic critical exponent z of the two-dimensional Ising model for the Swendsen-Wang and Wolff algorithms. We examine dynamic relaxation processes following a quench from a disordered or an ordered initial state to the critical temperature T_c, and measure the exponential relaxation time of the system energy. For the Swendsen-Wang algorithm with an ordered or a disordered initial state, and for the Wolff algorithm with an ordered initial state, the exponential relaxation time fits well to a logarithmic size dependence up to a lattice size L=8192. For the Wolff algorithm with a disordered initial state, we obtain an effective dynamic exponent z_exp=1.19(2) up to L=2048. For comparison, we also compute the effective dynamic exponents through the integrated correlation times. In addition, an exact result of the Swendsen-Wang dynamic spectrum of a one-dimension Ising chain is derived.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-02T06:07:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynamic critical exponent",
      "wolff algorithm",
      "nonequilibrium relaxation",
      "disordered initial state",
      "effective dynamic exponent"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2006,
      "month": "May",
      "volume": 2006,
      "number": 5,
      "pages": 5004
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 712211,
      "adsabs": "2006JSMTE..05..004D"
    }
  }
}