{
  "id": "1311.1318",
  "version": "v1",
  "published": "2013-11-06T09:23:07.000Z",
  "updated": "2013-11-06T09:23:07.000Z",
  "title": "Same universality class for the critical behavior in and out of equilibrium in a quenched random field",
  "authors": [
    "Ivan Balog",
    "Matthieu Tissier",
    "Gilles Tarjus"
  ],
  "comment": "10 pages, 4 figures",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "The random-field Ising model (RFIM) is one of the simplest statistical-mechanical models that captures the anomalous irreversible collective response seen in a wide range of physical, biological, or socio-economic situations in the presence of interactions and intrinsic heterogeneity or disorder. When slowly driven at zero temperature it can display an out-of-equilibrium phase transition associated with critical scaling (``crackling noise''), while it undergoes at equilibrium, under either temperature or disorder-strength changes, a thermodynamic phase transition. We show that the out-of-equilibrium and equilibrium critical behaviors are in the same universality class: they are controlled, in the renormalization-group (RG) sense, by the same zero-temperature fixed point. We do so by combining a field-theoretical formalism that accounts for the multiple metastable states and the exact (functional) RG. As a spin-off, we also demonstrate that critical fluids in disordered porous media are in the same universality class as the RFIM, thereby unifying a broad spectrum of equilibrium and out-of-equilibrium phenomena.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-06T09:23:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.10.Hi",
      "75.40.Cx"
    ],
    "keywords": [
      "universality class",
      "quenched random field",
      "thermodynamic phase transition",
      "out-of-equilibrium phase transition",
      "multiple metastable states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevB.89.104201",
      "journal": "Physical Review B",
      "year": 2014,
      "month": "Mar",
      "volume": 89,
      "number": 10,
      "pages": 104201
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1263822,
      "adsabs": "2014PhRvB..89j4201B"
    }
  }
}