About: Stochastic Equations for Simple Discrete Models of Epitaxial Growth.

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We derive continuous stochastic equations governing the asymptotic behavior of growth from a master equation for discrete growth models with local relaxation. We consider several simple models of epitaxial growth (the Family, the Wolf-Villain, and the Das SarmaůTamborenea models and their modifications). In 111 dimensions, we derive, for each model, the corresponding Langevin equation and identify leading terms that determine the universality class. Our results for models with local relaxation are in agreement with recent computer simulations. The applicability of the method in 211 dimensions is demonstrated in the case of the Family model. Problems of the procedure, in particular regularization in the continuous limit, are discussed. We derive continuous stochastic equations governing the asymptotic behavior of growth from a master equation for discrete growth models with local relaxation. We consider several simple models of epitaxial growth (the Family, the Wolf-Villain, and the Das SarmaůTamborenea models and their modifications). In 111 dimensions, we derive, for each model, the corresponding Langevin equation and identify leading terms that determine the universality class. Our results for models with local relaxation are in agreement with recent computer simulations. The applicability of the method in 211 dimensions is demonstrated in the case of the Family model. Problems of the procedure, in particular regularization in the continuous limit, are discussed. (en)
Title	Stochastic Equations for Simple Discrete Models of Epitaxial Growth. Stochastic Equations for Simple Discrete Models of Epitaxial Growth. (en)
skos:prefLabel	Stochastic Equations for Simple Discrete Models of Epitaxial Growth. Stochastic Equations for Simple Discrete Models of Epitaxial Growth. (en)
skos:notation	RIV/67985858:_____/96:27020040!RIV/2003/AV0/A27003/N
http://linked.open.../vavai/riv/strany	3933;3942
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA1010513), Z(AV0Z1010914), Z(AV0Z4072921)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2003
http://linked.open...aciTvurceVysledku	Předota, Milan
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav chemických procesů AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	836349
http://linked.open...ai/riv/idVysledku	RIV/67985858:_____/96:27020040
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	stochastic; epitaxial; growth (en)
http://linked.open.../riv/klicoveSlovo	epitaxial growth stochastic
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[FA79CB802217]
http://linked.open...i/riv/nazevZdroje	Physical Review E
http://linked.open...in/vavai/riv/obor	CF
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...ocetUcastnikuAkce	0 (xsd:int)
http://linked.open...nichUcastnikuAkce	0 (xsd:int)
http://linked.open...vavai/riv/projekt	Theory and modeling of epitaxial growth of multicomponent materials
http://linked.open...UplatneniVysledku	1996
http://linked.open...v/svazekPeriodika	54
http://linked.open...iv/tvurceVysledku	Předota, Milan Kotrla, Miroslav
http://linked.open...n/vavai/riv/zamer	Experimentální a teoretický výzkum kondenzovaných systémů s význačnými fyzikálními vlastnostmi Theoretical fundamentals of chemical processes: equilibrium and dynamic behavior of multiphase reacting systems
issn	1063-651X
number of pages	10 (xsd:int)

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