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Article: Kinetics of first-order phase transitions: Monte Carlo simulations, renormalization-group methods, and scaling for critical quenches

TitleKinetics of first-order phase transitions: Monte Carlo simulations, renormalization-group methods, and scaling for critical quenches
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. 7, p. 4453-4464 How to Cite?
AbstractUsing a combination of renormalization-group (RG) methods and Monte Carlo simulations, we study the growth kinetics of the spin-flip (SFKI) and the spin-exchange (SEKI) kinetic Ising models subjected to a critical quench (in zero external field) from infinite to low temperatures. The method developed here allows one to establish, in a nonperturbative fashion, the RG equations developed by us elsewhere. In the case of the SFKI model we find agreement, as expected, with the curvature-driven dynamics of Lifshitz, Cahn, and Allen which gives a growth law for a typical domain size of L(t)t1/2. Our results for the SEKI model (spinodal decomposition) are qualitatively different from the SFKI case. While both show scaling behavior for quenches to nonzero temperatures, the growth kinetics for the SE case show a long-time logarithmic growth L(t)lnt. For intermediate times one can fit an effective exponent L(t)ta(t) where a(t) agrees well with existing direct Monte Carlo studies. This logarithmic behavior is associated with the freezing of this system for quenches to zero temperature. © 1985 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/174646
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.accessioned2012-11-26T08:46:41Z-
dc.date.available2012-11-26T08:46:41Z-
dc.date.issued1985en_US
dc.identifier.citationPhysical Review B, 1985, v. 31 n. 7, p. 4453-4464en_US
dc.identifier.issn0163-1829en_US
dc.identifier.urihttp://hdl.handle.net/10722/174646-
dc.description.abstractUsing a combination of renormalization-group (RG) methods and Monte Carlo simulations, we study the growth kinetics of the spin-flip (SFKI) and the spin-exchange (SEKI) kinetic Ising models subjected to a critical quench (in zero external field) from infinite to low temperatures. The method developed here allows one to establish, in a nonperturbative fashion, the RG equations developed by us elsewhere. In the case of the SFKI model we find agreement, as expected, with the curvature-driven dynamics of Lifshitz, Cahn, and Allen which gives a growth law for a typical domain size of L(t)t1/2. Our results for the SEKI model (spinodal decomposition) are qualitatively different from the SFKI case. While both show scaling behavior for quenches to nonzero temperatures, the growth kinetics for the SE case show a long-time logarithmic growth L(t)lnt. For intermediate times one can fit an effective exponent L(t)ta(t) where a(t) agrees well with existing direct Monte Carlo studies. This logarithmic behavior is associated with the freezing of this system for quenches to zero temperature. © 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.titleKinetics of first-order phase transitions: Monte Carlo simulations, renormalization-group methods, and scaling for critical quenchesen_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.31.4453en_US
dc.identifier.scopuseid_2-s2.0-0001563951en_US
dc.identifier.volume31en_US
dc.identifier.issue7en_US
dc.identifier.spage4453en_US
dc.identifier.epage4464en_US
dc.identifier.isiWOS:A1985AEY8500041-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridMazenko, GF=6603889770en_US
dc.identifier.scopusauthoridValls, OT=7006466444en_US
dc.identifier.scopusauthoridZhang, FC=14012468800en_US
dc.identifier.citeulike5781486-

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