Modified Scaling Relation for the Random-Field Ising Model

Lade...
Vorschaubild
Dateien
Nowak_1998_ModifiedScaling.pdf
Nowak_1998_ModifiedScaling.pdfGröße: 159.09 KBDownloads: 167
Datum
1998
Autor:innen
Usadel, Klaus-Dieter
Esser, J.
Herausgeber:innen
Kontakt
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
ArXiv-ID
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Open Access Green
Sammlungen
Core Facility der Universität Konstanz
Gesperrt bis
Titel in einer weiteren Sprache
Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published
Erschienen in
Physica / A [Statistical Mechanics and its Applications]. 1998, 250(1-4), pp. 1-7. Available under: doi: 10.1016/S0378-4371(97)00580-3
Zusammenfassung

We investigate the low-temperature critical behavior of the three-dimensional random-field Ising ferromagnet. By a scaling analysis we find that in the limit of temperature T → 0 the usual scaling relations have to be modified as far as the exponent α of the specific heat is concerned. At zero temperature, the Rushbrooke equation is modified to α + 2β + γ = 1, an equation which we expect to be valid also for other systems with similar critical behavior. We test the scaling theory numerically for the three-dimensional random-field Ising system with Gaussian probability distribution of the random fields by a combination of calculations of exact ground states with an integer optimization algorithm and Monte Carlo methods. By a finite-size scaling analysis we calculate the critical exponents ν ≈ 1.0, β ≈ 0.05, ӯ ≈ 2.9, γ ≈ 1.5 and α ≈ −0.55.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
530 Physik
Schlagwörter
Konferenz
Rezension
undefined / . - undefined, undefined
Forschungsvorhaben
Organisationseinheiten
Zeitschriftenheft
Datensätze
Zitieren
ISO 690NOWAK, Ulrich, Klaus-Dieter USADEL, J. ESSER, 1998. Modified Scaling Relation for the Random-Field Ising Model. In: Physica / A [Statistical Mechanics and its Applications]. 1998, 250(1-4), pp. 1-7. Available under: doi: 10.1016/S0378-4371(97)00580-3
BibTex
@article{Nowak1998Modif-5091,
  year={1998},
  doi={10.1016/S0378-4371(97)00580-3},
  title={Modified Scaling Relation for the Random-Field Ising Model},
  number={1-4},
  volume={250},
  journal={Physica / A [Statistical Mechanics and its Applications]},
  pages={1--7},
  author={Nowak, Ulrich and Usadel, Klaus-Dieter and Esser, J.}
}
RDF
<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/5091">
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/5091"/>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:creator>Esser, J.</dc:creator>
    <dc:contributor>Nowak, Ulrich</dc:contributor>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
    <dc:creator>Nowak, Ulrich</dc:creator>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/5091/1/Nowak_1998_ModifiedScaling.pdf"/>
    <dc:rights>terms-of-use</dc:rights>
    <dc:format>application/pdf</dc:format>
    <dcterms:abstract xml:lang="eng">We investigate the low-temperature critical behavior of the three-dimensional random-field Ising ferromagnet. By a scaling analysis we find that in the limit of temperature T → 0 the usual scaling relations have to be modified as far as the exponent α of the specific heat is concerned. At zero temperature, the Rushbrooke equation is modified to α + 2β + γ = 1, an equation which we expect to be valid also for other systems with similar critical behavior. We test the scaling theory numerically for the three-dimensional random-field Ising system with Gaussian probability distribution of the random fields by a combination of calculations of exact ground states with an integer optimization algorithm and Monte Carlo methods. By a finite-size scaling analysis we calculate the critical exponents ν ≈ 1.0, β ≈ 0.05, ӯ ≈ 2.9, γ ≈ 1.5 and α ≈ −0.55.</dcterms:abstract>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/5091/1/Nowak_1998_ModifiedScaling.pdf"/>
    <dc:language>eng</dc:language>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T14:53:04Z</dcterms:available>
    <dc:contributor>Usadel, Klaus-Dieter</dc:contributor>
    <dcterms:issued>1998</dcterms:issued>
    <dc:contributor>Esser, J.</dc:contributor>
    <dc:creator>Usadel, Klaus-Dieter</dc:creator>
    <dcterms:bibliographicCitation>Publ. in: Physica / A [Statistical Mechanics and its Applications], Vol. 250 (1998), 1-4, pp. 1-7</dcterms:bibliographicCitation>
    <dcterms:title>Modified Scaling Relation for the Random-Field Ising Model</dcterms:title>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T14:53:04Z</dc:date>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
  </rdf:Description>
</rdf:RDF>
Interner Vermerk
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Kontakt
URL der Originalveröffentl.
Prüfdatum der URL
Prüfungsdatum der Dissertation
Finanzierungsart
Kommentar zur Publikation
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Nein
Begutachtet
Diese Publikation teilen