{
  "id": "1403.1828",
  "version": "v1",
  "published": "2014-03-07T18:02:00.000Z",
  "updated": "2014-03-07T18:02:00.000Z",
  "title": "A replica trick for rare samples",
  "authors": [
    "Tommaso Rizzo"
  ],
  "journal": "Phys. Rev. B 89, 174401 (2014)",
  "doi": "10.1103/PhysRevB.89.174401",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "In the context of disordered systems with quenched Hamiltonians I address the problem of characterizing rare samples where the thermal average of a specific observable has a value different from the typical one. These rare samples can be selected through a variation of the replica trick which amounts to replicate the system and divide the replicas in two groups containing respectively $M$ and $-M$ replicas. Replicas in the first (second) group experience an positive (negative) small field $O(1/M)$ conjugate to the observable considered and the $M \\rightarrow \\infty$ limit is to be taken in the end. Applications to the random-field Ising model and to the Sherrington-Kirkpatrick model are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-07T18:02:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "75.10.Nr"
    ],
    "keywords": [
      "replica trick",
      "random-field ising model",
      "small field",
      "group experience",
      "sherrington-kirkpatrick model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2014,
      "month": "May",
      "volume": 89,
      "number": 17,
      "pages": 174401
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhRvB..89q4401R"
    }
  }
}