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Article: Growth of order in order-disorder transitions: Tests of universality

TitleGrowth of order in order-disorder transitions: Tests of universality
Authors
Issue Date1985
PublisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/
Citation
Physical Review B, 1985, v. 31 n. 3, p. 1579-1589 How to Cite?
AbstractRenormalization-group methods developed previously to treat the growth of order in unstable systems are extended and applied to the antiferromagnetic spin-exchange (AF SE) model for order-disorder transitions in binary alloys. The number-conservation law and fixed-length sum rule are properly preserved. Various scaling behaviors are identified and the corresponding scaling functions are determined and compared to those found in previous work on the spin-flip kinetic Ising (SF KI) model. While the AF SE and SF KI models both have a nonconserved scalar order parameter, their microscopic dynamics is very different, and no quantities are conserved in the SF case. We investigate the dependence of the growth kinetics on these differences. We find that the scaling function for the quasistatic structure factor is universal for the models that we have studied. The scaling functions reflecting the dependence of the growth on the correlation length of the final equilibrium state, while quite similar for the various models, depend on both the presence of the conservation law and the choice of exchange probability. We have also carried out detailed comparisons of our results with Monte Carlo simulations for the scaling function for the structure factor, and the time dependence of the nearest-neighbor correlation function. The agreement between the theory and the simulations is excellent. In addition, we have carried out Monte Carlo simulations which verify directly the existence of the self-similar behavior on which our theory is founded. © 1985 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/175144
ISSN
2001 Impact Factor: 3.07
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorZhang, FCen_US
dc.contributor.authorValls, OTen_US
dc.contributor.authorMazenko, GFen_US
dc.date.accessioned2012-11-26T08:49:24Z-
dc.date.available2012-11-26T08:49:24Z-
dc.date.issued1985en_US
dc.identifier.citationPhysical Review B, 1985, v. 31 n. 3, p. 1579-1589en_US
dc.identifier.issn0163-1829en_US
dc.identifier.urihttp://hdl.handle.net/10722/175144-
dc.description.abstractRenormalization-group methods developed previously to treat the growth of order in unstable systems are extended and applied to the antiferromagnetic spin-exchange (AF SE) model for order-disorder transitions in binary alloys. The number-conservation law and fixed-length sum rule are properly preserved. Various scaling behaviors are identified and the corresponding scaling functions are determined and compared to those found in previous work on the spin-flip kinetic Ising (SF KI) model. While the AF SE and SF KI models both have a nonconserved scalar order parameter, their microscopic dynamics is very different, and no quantities are conserved in the SF case. We investigate the dependence of the growth kinetics on these differences. We find that the scaling function for the quasistatic structure factor is universal for the models that we have studied. The scaling functions reflecting the dependence of the growth on the correlation length of the final equilibrium state, while quite similar for the various models, depend on both the presence of the conservation law and the choice of exchange probability. We have also carried out detailed comparisons of our results with Monte Carlo simulations for the scaling function for the structure factor, and the time dependence of the nearest-neighbor correlation function. The agreement between the theory and the simulations is excellent. In addition, we have carried out Monte Carlo simulations which verify directly the existence of the self-similar behavior on which our theory is founded. © 1985 The American Physical Society.en_US
dc.languageengen_US
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/en_US
dc.relation.ispartofPhysical Review Ben_US
dc.titleGrowth of order in order-disorder transitions: Tests of universalityen_US
dc.typeArticleen_US
dc.identifier.emailZhang, FC: fuchun@hkucc.hku.hken_US
dc.identifier.authorityZhang, FC=rp00840en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1103/PhysRevB.31.1579en_US
dc.identifier.scopuseid_2-s2.0-4544290324en_US
dc.identifier.volume31en_US
dc.identifier.issue3en_US
dc.identifier.spage1579en_US
dc.identifier.epage1589en_US
dc.identifier.isiWOS:A1985ABC6400043-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridZhang, FC=14012468800en_US
dc.identifier.scopusauthoridValls, OT=7006466444en_US
dc.identifier.scopusauthoridMazenko, GF=6603889770en_US

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