{
  "id": "cond-mat/0512663",
  "version": "v1",
  "published": "2005-12-27T03:03:47.000Z",
  "updated": "2005-12-27T03:03:47.000Z",
  "title": "Persistence and the Random Bond Ising Model in Two Dimensions",
  "authors": [
    "S. Jain",
    "H. Flynn"
  ],
  "comment": "9 pages, 5 figures",
  "doi": "10.1103/PhysRevE.73.025701",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We study the zero-temperature persistence phenomenon in the random bond $\\pm J$ Ising model on a square lattice via extensive numerical simulations. We find strong evidence for ` blocking\\rq regardless of the amount disorder present in the system. The fraction of spins which {\\it never} flips displays interesting non-monotonic, double-humped behaviour as the concentration of ferromagnetic bonds $p$ is varied from zero to one. The peak is identified with the onset of the zero-temperature spin glass transition in the model. The residual persistence is found to decay algebraically and the persistence exponent $\\theta (p)\\approx 0.9$ over the range $0.1\\le p\\le 0.9$. Our results are completely consistent with the result of Gandolfi, Newman and Stein for infinite systems that this model has ` mixed\\rq behaviour, namely positive fractions of spins that flip finitely and infinitely often, respectively. [Gandolfi, Newman and Stein, Commun. Math. Phys. {\\bf 214} 373, (2000).]",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-27T03:03:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random bond ising model",
      "dimensions",
      "zero-temperature spin glass transition",
      "zero-temperature persistence phenomenon",
      "flips displays interesting non-monotonic"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}