{
  "id": "1403.2622",
  "version": "v2",
  "published": "2014-03-11T15:57:10.000Z",
  "updated": "2014-04-02T09:43:22.000Z",
  "title": "The three dimensional Ising spin glass in an external magnetic field: the role of the silent majority",
  "authors": [
    "Janus Collaboration",
    "M. Baity-Jesi",
    "R. A. Banos",
    "A. Cruz",
    "L. A. Fernandez",
    "J. M. Gil-Narvion",
    "A. Gordillo-Guerrero",
    "D. Iniguez",
    "A. Maiorano",
    "F. Mantovani",
    "E. Marinari",
    "V. Martin-Mayor",
    "J. Monforte-Garcia",
    "A. Munoz Sudupe",
    "D. Navarro",
    "G. Parisi",
    "S. Perez-Gaviro",
    "M. Pivanti",
    "F. Ricci-Tersenghi",
    "J. J. Ruiz-Lorenzo",
    "S. F. Schifano",
    "B. Seoane",
    "A. Tarancon",
    "R. Tripiccione",
    "D. Yllanes"
  ],
  "comment": "42 pages, 19 figures. Minor changes and added figure (results unchanged)",
  "journal": "J. Stat. Mech. (2014) P05014",
  "doi": "10.1088/1742-5468/2014/05/P05014",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We perform equilibrium parallel-tempering simulations of the 3D Ising Edwards-Anderson spin glass in a field. A traditional analysis shows no signs of a phase transition. Yet, we encounter dramatic fluctuations in the behaviour of the model: Averages over all the data only describe the behaviour of a small fraction of it. Therefore we develop a new approach to study the equilibrium behaviour of the system, by classifying the measurements as a function of a conditioning variate. We propose a finite-size scaling analysis based on the probability distribution function of the conditioning variate, which may accelerate the convergence to the thermodynamic limit. In this way, we find a non-trivial spectrum of behaviours, where a part of the measurements behaves as the average, while the majority of them shows signs of scale invariance. As a result, we can estimate the temperature interval where the phase transition in a field ought to lie, if it exists. Although this would-be critical regime is unreachable with present resources, the numerical challenge is finally well posed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-02T09:43:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dimensional ising spin glass",
      "external magnetic field",
      "silent majority",
      "3d ising edwards-anderson spin glass",
      "phase transition"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2014,
      "month": "May",
      "volume": 2014,
      "number": 5,
      "pages": "05014"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014JSMTE..05..014B"
    }
  }
}