Modified Scaling Relation for the Random-Field Ising Model

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NOWAK, Ulrich, Klaus-Dieter USADEL, J. ESSER, 1998. Modified Scaling Relation for the Random-Field Ising Model. In: Physica / A [Statistical Mechanics and its Applications]. 250(1-4), pp. 1-7. Available under: doi: 10.1016/S0378-4371(97)00580-3

@article{Nowak1998Modif-5091, title={Modified Scaling Relation for the Random-Field Ising Model}, year={1998}, doi={10.1016/S0378-4371(97)00580-3}, 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 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/rdf/resource/123456789/5091"> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T14:53:04Z</dc:date> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:contributor>Esser, J.</dc:contributor> <dcterms:issued>1998</dcterms:issued> <dc:creator>Esser, J.</dc:creator> <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/5091/1/Nowak_1998_ModifiedScaling.pdf"/> <dc:language>eng</dc:language> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/41"/> <dc:format>application/pdf</dc:format> <dcterms:title>Modified Scaling Relation for the Random-Field Ising Model</dcterms:title> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/41"/> <dc:contributor>Usadel, Klaus-Dieter</dc:contributor> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T14:53:04Z</dcterms:available> <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> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/5091"/> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103416863-3868037-7"/> <dcterms:bibliographicCitation>Publ. in: Physica / A [Statistical Mechanics and its Applications], Vol. 250 (1998), 1-4, pp. 1-7</dcterms:bibliographicCitation> <dc:contributor>Nowak, Ulrich</dc:contributor> <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/5091/1/Nowak_1998_ModifiedScaling.pdf"/> <dc:creator>Nowak, Ulrich</dc:creator> <dc:creator>Usadel, Klaus-Dieter</dc:creator> <dc:rights>deposit-license</dc:rights> </rdf:Description> </rdf:RDF>

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