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Article: Renormalization-group theory of spinodal decomposition

TitleRenormalization-group theory of spinodal decomposition
Authors
Issue Date1985
PublisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/
Citation
Physical Review B, 1985, v. 32 n. 9, p. 5807-5817 How to Cite?
AbstractRenormalization-group (RG) methods developed previously for the study of the growth of order in unstable systems are extended to treat the spinodal decomposition of the two-dimensional spin-exchange kinetic Ising model. The conservation of the order parameter and fixed-length sum rule are properly preserved in the theory. Various correlation functions in both coordinate and momentum space are calculated as functions of time. The scaling function for the structure factor is extracted. We compare our results with direct Monte Carlo (MC) simulations and find them in good agreement. The time rescaling parameter entering the RG analysis is temperature dependent, as was determined in previous work through a RG analysis of MC simulations. The results exhibit a long-time logarithmic growth law for the typical domain size, both analytically and numerically. In the time region where MC simulations have previously been performed, the logarithmic growth law can be fitted to a power law with an effective exponent. This exponent is found to be in excellent agreement with the result of MC simulations. The logarithmic growth law agrees with a physical model of interfacial motion which involves an interplay between the local curvature and an activated jump across the interface. © 1985 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/175014
ISSN
2001 Impact Factor: 3.07
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorMazenko, GFen_US
dc.contributor.authorValls, OTen_US
dc.contributor.authorZhang, FCen_US
dc.date.accessioned2012-11-26T08:48:46Z-
dc.date.available2012-11-26T08:48:46Z-
dc.date.issued1985en_US
dc.identifier.citationPhysical Review B, 1985, v. 32 n. 9, p. 5807-5817en_US
dc.identifier.issn0163-1829en_US
dc.identifier.urihttp://hdl.handle.net/10722/175014-
dc.description.abstractRenormalization-group (RG) methods developed previously for the study of the growth of order in unstable systems are extended to treat the spinodal decomposition of the two-dimensional spin-exchange kinetic Ising model. The conservation of the order parameter and fixed-length sum rule are properly preserved in the theory. Various correlation functions in both coordinate and momentum space are calculated as functions of time. The scaling function for the structure factor is extracted. We compare our results with direct Monte Carlo (MC) simulations and find them in good agreement. The time rescaling parameter entering the RG analysis is temperature dependent, as was determined in previous work through a RG analysis of MC simulations. The results exhibit a long-time logarithmic growth law for the typical domain size, both analytically and numerically. In the time region where MC simulations have previously been performed, the logarithmic growth law can be fitted to a power law with an effective exponent. This exponent is found to be in excellent agreement with the result of MC simulations. The logarithmic growth law agrees with a physical model of interfacial motion which involves an interplay between the local curvature and an activated jump across the interface. © 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.titleRenormalization-group theory of spinodal decompositionen_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.32.5807en_US
dc.identifier.scopuseid_2-s2.0-33744605071en_US
dc.identifier.volume32en_US
dc.identifier.issue9en_US
dc.identifier.spage5807en_US
dc.identifier.epage5817en_US
dc.identifier.isiWOS:A1985ATL0200026-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridMazenko, GF=6603889770en_US
dc.identifier.scopusauthoridValls, OT=7006466444en_US
dc.identifier.scopusauthoridZhang, FC=14012468800en_US

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