{
  "id": "0706.1180",
  "version": "v2",
  "published": "2007-06-08T13:23:50.000Z",
  "updated": "2007-06-20T15:32:15.000Z",
  "title": "Large Deviations in the Free-Energy of Mean-Field Spin-Glasses",
  "authors": [
    "Giorgio Parisi",
    "Tommaso Rizzo"
  ],
  "comment": "version to be submitted to PRL plus full power series in the appendix, added references and minor corrections",
  "journal": "Phys. Rev. Lett. 101, 117205 (2008)",
  "doi": "10.1103/PhysRevLett.101.117205",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We compute analytically the probability distribution of large deviations in the spin-glass free energy for the Sherrington-Kirkpatrick mean field model, i.e. we compute the exponentially small probability of finding a system with intensive free energy smaller than the most likely one. This result is obtained by computing the average value of the partition function to the power $n$ as a function of $n$. At zero temperature this absolute prediction displays a remarkable quantitative agreement with the numerical data.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-06-20T15:32:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "75.10.Nr"
    ],
    "keywords": [
      "large deviations",
      "mean-field spin-glasses",
      "free-energy",
      "sherrington-kirkpatrick mean field model",
      "intensive free energy smaller"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2008,
      "month": "Sep",
      "volume": 101,
      "number": 11,
      "pages": 117205
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvL.101k7205P"
    }
  }
}