{
  "titles": [
    {
      "title": "Finite-Size Correlation Length and Violations of Finite-Size Scaling"
    }
  ],
  "creators": [
    {
      "name": "Caracciolo, Sergio",
      "nameType": "Personal",
      "familyName": "Caracciolo",
      "givenName": "Sergio"
    },
    {
      "name": "Gambassi, Andrea",
      "nameType": "Personal",
      "familyName": "Gambassi",
      "givenName": "Andrea"
    },
    {
      "name": "Gubinelli, Massimiliano",
      "nameType": "Personal",
      "familyName": "Gubinelli",
      "givenName": "Massimiliano"
    },
    {
      "name": "Pelissetto, Andrea",
      "nameType": "Personal",
      "familyName": "Pelissetto",
      "givenName": "Andrea"
    }
  ],
  "publisher": {
    "name": "Papers of Massimiliano Gubinelli"
  },
  "publicationYear": 2000,
  "types": {
    "resourceTypeGeneral": "Preprint"
  },
  "version": "1",
  "url": "https://arxiv.org/abs/cond-mat/0010479v1",
  "dates": [
    {
      "date": "2000-10-30",
      "dateType": "Issued"
    },
    {
      "date": "2000-10-30",
      "dateType": "Available"
    }
  ],
  "language": "en",
  "formats": [
    "application/pdf",
    "application/x-tex"
  ],
  "subjects": [
    {
      "subject": "cond-mat.stat-mech",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "hep-lat",
      "subjectScheme": "arXiv"
    }
  ],
  "rightsList": [
    {
      "rights": "arXiv.org non-exclusive license to distribute, assumed for submissions of 1991-2003; all other rights reserved to the authors",
      "rightsUri": "http://arxiv.org/licenses/assumed-1991-2003/"
    }
  ],
  "descriptions": [
    {
      "description": "We address the problem of the definition of the finite-volume correlation length. First, we study the large-N limit of the N-vector model, and we show the existence of several constraints on the definition if regularity of the finite-size scaling functions and correct anomalous behaviour above the upper critical dimension are required. Then, we study in detail a model in which the zero mode in prohibited. Such a model is a generalization of the fixed-magnetization Ising model which is equivalent to the lattice gas. Also in this case, we find that the finite-volume correlation length must satisfy appropriate constraints in order to obtain regular finite-size scaling functions, and, above the upper critical dimension, an anomalous scaling behaviour. The large-N results are confirmed by a one-loop calculation in the lattice $\\phi^4$ theory.",
      "descriptionType": "Abstract"
    },
    {
      "description": "Journal reference: Eur.Phys.J.B20:255-265,2001",
      "descriptionType": "SeriesInformation"
    }
  ],
  "relatedIdentifiers": [
    {
      "relatedIdentifier": "arXiv:cond-mat/0010479v1",
      "relatedIdentifierType": "arXiv",
      "relationType": "IsIdenticalTo"
    },
    {
      "relatedIdentifier": "10.48550/arXiv.cond-mat/0010479",
      "relatedIdentifierType": "DOI",
      "relationType": "IsVersionOf"
    },
    {
      "relatedIdentifier": "10.1007/BF01352587",
      "relatedIdentifierType": "DOI",
      "relationType": "IsPreprintOf"
    }
  ]
}