{
  "id": "2205.14089",
  "version": "v1",
  "published": "2022-05-27T16:39:02.000Z",
  "updated": "2022-05-27T16:39:02.000Z",
  "title": "Numerical Simulations and Replica Symmetry Breaking",
  "authors": [
    "V. Martin-Mayor",
    "J. J. Ruiz-Lorenzo",
    "B. Seoane",
    "A. P. Young"
  ],
  "comment": "28 pages and 11 figures. To appear as a contribution to the edited volume \"Spin Glass Theory & Far Beyond - Replica Symmetry Breaking after 40 Years\", World Scientific",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "Use of dedicated computers in spin glass simulations allows one to equilibrate very large samples (of size as large as $L=32$) and to carry out \"computer experiments\" that can be compared to (and analyzed in combination with) laboratory experiments on spin-glass samples. In the absence of a magnetic field, the most economic conclusion of the combined analysis of equilibrium and non-equilibrium simulations is that an RSB spin glass phase is present in three spatial dimensions. However, in the presence of a field, the lower critical dimension for the de Almeida-Thouless transition seems to be larger than three.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-27T16:39:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "replica symmetry breaking",
      "numerical simulations",
      "rsb spin glass phase",
      "spin glass simulations",
      "computer experiments"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}