On the purity of the limiting gibbs state for the Ising model on the Bethe lattice View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1995-04

AUTHORS

P. M. Bleher, J. Ruiz, V. A. Zagrebnov

ABSTRACT

We give a proof that for the Ising model on the Bethe lattice, the limiting Gibbs state with zero effective field (disordered state) persists to be pure for temperature below the ferromagnetic critical temperatureTcF until the critical temperatureTcSG of the corresponding spin-glass model. This new proof revises the one proposed earlier. More... »

PAGES

473-482

References to SciGraph publications

  • 1990-03. Extremity of the disordered phase in the Ising model on the Bethe lattice in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02179399

    DOI

    http://dx.doi.org/10.1007/bf02179399

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1029115716


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0105", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Physics", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Department of Mathematical Sciences, Indiana University-Purdue University at Indianapolis, 46202-3216, Indianapolis, Indiana", 
              "id": "http://www.grid.ac/institutes/grid.257413.6", 
              "name": [
                "Centre de Physique Th\u00e9orique, CNRS-Luminy, Case 907, F-13288, Marseille Cedex 9, France", 
                "Department of Mathematical Sciences, Indiana University-Purdue University at Indianapolis, 46202-3216, Indianapolis, Indiana"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Bleher", 
            "givenName": "P. M.", 
            "id": "sg:person.016371425465.06", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016371425465.06"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Centre de Physique Th\u00e9orique, CNRS-Luminy, Case 907, F-13288, Marseille Cedex 9, France", 
              "id": "http://www.grid.ac/institutes/None", 
              "name": [
                "Centre de Physique Th\u00e9orique, CNRS-Luminy, Case 907, F-13288, Marseille Cedex 9, France"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Ruiz", 
            "givenName": "J.", 
            "id": "sg:person.014441770265.62", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014441770265.62"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "D\u00e9partement de Physique, Universit\u00e9 d'Aix, Marseille II", 
              "id": "http://www.grid.ac/institutes/grid.5399.6", 
              "name": [
                "Centre de Physique Th\u00e9orique, CNRS-Luminy, Case 907, F-13288, Marseille Cedex 9, France", 
                "D\u00e9partement de Physique, Universit\u00e9 d'Aix, Marseille II"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Zagrebnov", 
            "givenName": "V. A.", 
            "id": "sg:person.010253604033.54", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010253604033.54"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bf02108787", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006639953", 
              "https://doi.org/10.1007/bf02108787"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "1995-04", 
        "datePublishedReg": "1995-04-01", 
        "description": "We give a proof that for the Ising model on the Bethe lattice, the limiting Gibbs state with zero effective field (disordered state) persists to be pure for temperature below the ferromagnetic critical temperatureTcF until the critical temperatureTcSG of the corresponding spin-glass model. This new proof revises the one proposed earlier.", 
        "genre": "article", 
        "id": "sg:pub.10.1007/bf02179399", 
        "inLanguage": "en", 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1040979", 
            "issn": [
              "0022-4715", 
              "1572-9613"
            ], 
            "name": "Journal of Statistical Physics", 
            "publisher": "Springer Nature", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "1-2", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "79"
          }
        ], 
        "keywords": [
          "proof", 
          "model", 
          "state", 
          "field", 
          "new proof", 
          "one", 
          "Ising model", 
          "lattice", 
          "effective field", 
          "temperature", 
          "spin-glass model", 
          "Bethe lattice", 
          "Gibbs states", 
          "purity", 
          "ferromagnetic critical temperatureTcF", 
          "critical temperatureTcF", 
          "temperatureTcF", 
          "corresponding spin-glass model"
        ], 
        "name": "On the purity of the limiting gibbs state for the Ising model on the Bethe lattice", 
        "pagination": "473-482", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1029115716"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/bf02179399"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/bf02179399", 
          "https://app.dimensions.ai/details/publication/pub.1029115716"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2022-01-01T18:08", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-springernature-scigraph/baseset/20220101/entities/gbq_results/article/article_290.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://doi.org/10.1007/bf02179399"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/bf02179399'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/bf02179399'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf02179399'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf02179399'


     

    This table displays all metadata directly associated to this object as RDF triples.

    102 TRIPLES      22 PREDICATES      45 URIs      36 LITERALS      6 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/bf02179399 schema:about anzsrc-for:01
    2 anzsrc-for:0105
    3 schema:author N79e88cac794e4841ba424d71851655fb
    4 schema:citation sg:pub.10.1007/bf02108787
    5 schema:datePublished 1995-04
    6 schema:datePublishedReg 1995-04-01
    7 schema:description We give a proof that for the Ising model on the Bethe lattice, the limiting Gibbs state with zero effective field (disordered state) persists to be pure for temperature below the ferromagnetic critical temperatureTcF until the critical temperatureTcSG of the corresponding spin-glass model. This new proof revises the one proposed earlier.
    8 schema:genre article
    9 schema:inLanguage en
    10 schema:isAccessibleForFree false
    11 schema:isPartOf N3c4dd00ebe8144c78b489c7882368699
    12 Nc75fcc3392ea4d038c8a71e3890e0e50
    13 sg:journal.1040979
    14 schema:keywords Bethe lattice
    15 Gibbs states
    16 Ising model
    17 corresponding spin-glass model
    18 critical temperatureTcF
    19 effective field
    20 ferromagnetic critical temperatureTcF
    21 field
    22 lattice
    23 model
    24 new proof
    25 one
    26 proof
    27 purity
    28 spin-glass model
    29 state
    30 temperature
    31 temperatureTcF
    32 schema:name On the purity of the limiting gibbs state for the Ising model on the Bethe lattice
    33 schema:pagination 473-482
    34 schema:productId N2a312afa69e74ca392282df1be61087c
    35 Na68e62fdfcec442ab2f60ce118a878a3
    36 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029115716
    37 https://doi.org/10.1007/bf02179399
    38 schema:sdDatePublished 2022-01-01T18:08
    39 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    40 schema:sdPublisher Nd731812e10c34db5bd683454d03bea51
    41 schema:url https://doi.org/10.1007/bf02179399
    42 sgo:license sg:explorer/license/
    43 sgo:sdDataset articles
    44 rdf:type schema:ScholarlyArticle
    45 N2a312afa69e74ca392282df1be61087c schema:name dimensions_id
    46 schema:value pub.1029115716
    47 rdf:type schema:PropertyValue
    48 N2f740f6ed7424947beea9caf0de04e9f rdf:first sg:person.014441770265.62
    49 rdf:rest N42a5958b510a46ada92f3a67a32e98a9
    50 N3c4dd00ebe8144c78b489c7882368699 schema:issueNumber 1-2
    51 rdf:type schema:PublicationIssue
    52 N42a5958b510a46ada92f3a67a32e98a9 rdf:first sg:person.010253604033.54
    53 rdf:rest rdf:nil
    54 N79e88cac794e4841ba424d71851655fb rdf:first sg:person.016371425465.06
    55 rdf:rest N2f740f6ed7424947beea9caf0de04e9f
    56 Na68e62fdfcec442ab2f60ce118a878a3 schema:name doi
    57 schema:value 10.1007/bf02179399
    58 rdf:type schema:PropertyValue
    59 Nc75fcc3392ea4d038c8a71e3890e0e50 schema:volumeNumber 79
    60 rdf:type schema:PublicationVolume
    61 Nd731812e10c34db5bd683454d03bea51 schema:name Springer Nature - SN SciGraph project
    62 rdf:type schema:Organization
    63 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    64 schema:name Mathematical Sciences
    65 rdf:type schema:DefinedTerm
    66 anzsrc-for:0105 schema:inDefinedTermSet anzsrc-for:
    67 schema:name Mathematical Physics
    68 rdf:type schema:DefinedTerm
    69 sg:journal.1040979 schema:issn 0022-4715
    70 1572-9613
    71 schema:name Journal of Statistical Physics
    72 schema:publisher Springer Nature
    73 rdf:type schema:Periodical
    74 sg:person.010253604033.54 schema:affiliation grid-institutes:grid.5399.6
    75 schema:familyName Zagrebnov
    76 schema:givenName V. A.
    77 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010253604033.54
    78 rdf:type schema:Person
    79 sg:person.014441770265.62 schema:affiliation grid-institutes:None
    80 schema:familyName Ruiz
    81 schema:givenName J.
    82 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014441770265.62
    83 rdf:type schema:Person
    84 sg:person.016371425465.06 schema:affiliation grid-institutes:grid.257413.6
    85 schema:familyName Bleher
    86 schema:givenName P. M.
    87 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016371425465.06
    88 rdf:type schema:Person
    89 sg:pub.10.1007/bf02108787 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006639953
    90 https://doi.org/10.1007/bf02108787
    91 rdf:type schema:CreativeWork
    92 grid-institutes:None schema:alternateName Centre de Physique Théorique, CNRS-Luminy, Case 907, F-13288, Marseille Cedex 9, France
    93 schema:name Centre de Physique Théorique, CNRS-Luminy, Case 907, F-13288, Marseille Cedex 9, France
    94 rdf:type schema:Organization
    95 grid-institutes:grid.257413.6 schema:alternateName Department of Mathematical Sciences, Indiana University-Purdue University at Indianapolis, 46202-3216, Indianapolis, Indiana
    96 schema:name Centre de Physique Théorique, CNRS-Luminy, Case 907, F-13288, Marseille Cedex 9, France
    97 Department of Mathematical Sciences, Indiana University-Purdue University at Indianapolis, 46202-3216, Indianapolis, Indiana
    98 rdf:type schema:Organization
    99 grid-institutes:grid.5399.6 schema:alternateName Département de Physique, Université d'Aix, Marseille II
    100 schema:name Centre de Physique Théorique, CNRS-Luminy, Case 907, F-13288, Marseille Cedex 9, France
    101 Département de Physique, Université d'Aix, Marseille II
    102 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...