{
  "id": "0810.1436",
  "version": "v1",
  "published": "2008-10-08T13:42:44.000Z",
  "updated": "2008-10-08T13:42:44.000Z",
  "title": "Systems with two symmetric absorbing states: relating the microscopic dynamics with the macroscopic behavior",
  "authors": [
    "F. Vazquez",
    "C. Lopez"
  ],
  "comment": "5 pages, 2 figures",
  "journal": "Phys. Rev. E 78, 061127 (2008)",
  "doi": "10.1103/PhysRevE.78.061127",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We propose a general approach to study spin models with two symmetric absorbing states. Starting from the microscopic dynamics on a square lattice, we derive a Langevin equation for the time evolution of the magnetization field, that successfully explains coarsening properties of a wide range of nonlinear voter models and systems with intermediate states. We find that the macroscopic behavior only depends on the first derivatives of the spin-flip probabilities. Moreover, an analysis of the mean-field term reveals the three types of transitions commonly observed in these systems -generalized voter, Ising and directed percolation-. Monte Carlo simulations of the spin dynamics qualitatively agree with theoretical predictions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-08T13:42:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.40.-a",
      "05.70.Fh",
      "64.60.Ht",
      "87.23.-n"
    ],
    "keywords": [
      "symmetric absorbing states",
      "microscopic dynamics",
      "macroscopic behavior",
      "study spin models",
      "nonlinear voter models"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2008,
      "month": "Dec",
      "volume": 78,
      "number": 6,
      "pages": "061127"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvE..78f1127V"
    }
  }
}