{
  "id": "0706.4152",
  "version": "v2",
  "published": "2007-06-28T06:47:43.000Z",
  "updated": "2008-03-10T09:01:16.000Z",
  "title": "Scaling of hysteresis loops at phase transitions into a quasiabsorbing state",
  "authors": [
    "Kazumasa A. Takeuchi"
  ],
  "comment": "4 pages, 4 figures, 1 table",
  "journal": "Phys. Rev. E 77, 030103(R) (2008)",
  "doi": "10.1103/PhysRevE.77.030103",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Models undergoing a phase transition to an absorbing state weakly broken by the addition of a very low spontaneous nucleation rate are shown to exhibit hysteresis loops whose width $\\Delta\\lambda$ depends algebraically on the ramp rate $r$. Analytical arguments and numerical simulations show that $\\Delta\\lambda \\sim r^{\\kappa}$ with $\\kappa = 1/(\\beta'+1)$, where $\\beta'$ is the critical exponent governing the survival probability of a seed near threshold. These results explain similar hysteresis scaling observed before in liquid crystal convection experiments. This phenomenon is conjectured to occur in a variety of other experimental systems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-03-10T09:01:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Jk",
      "05.70.Ln",
      "05.20.-y"
    ],
    "keywords": [
      "phase transition",
      "hysteresis loops",
      "quasiabsorbing state",
      "liquid crystal convection experiments",
      "low spontaneous nucleation rate"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2008,
      "month": "Mar",
      "volume": 77,
      "number": 3,
      "pages": "030103"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvE..77c0103T"
    }
  }
}