Unified moving-boundary model with fluctuations for unstable diffusive growth

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dc.contributor.author Nicoli, Matteo
dc.contributor.author Cañadas Castro, Mario
dc.contributor.author Cuerno Rejado, Rodolfo
dc.date.accessioned 2010-02-15T13:52:55Z
dc.date.available 2010-02-15T13:52:55Z
dc.date.issued 2008-08
dc.identifier.bibliographicCitation Physical Review E 78, 021601 (2008)
dc.identifier.issn 1539-3755
dc.identifier.uri http://hdl.handle.net/10016/6864
dc.description 17 pages, 9 figures.-- PACS nrs.: 81.10.-h, 68.35.Ct, 64.60.Ht, 81.15.Gh.-- MSC2000 code: 82C24.-- ArXiv pre-print available at: http://arxiv.org/abs/0812.4160
dc.description MR#: MR2496824 (2010c:82073)
dc.description Final publisher version available Open Access at: http://gisc.uc3m.es/~cuerno/publ_list.html
dc.description.abstract We study a moving-boundary model of nonconserved interface growth that implements the interplay between diffusive matter transport and aggregation kinetics at the interface. Conspicuous examples are found in thin-film production by chemical vapor deposition and electrochemical deposition. The model also incorporates noise terms that account for fluctuations in the diffusive and attachment processes. A small-slope approximation allows us to derive effective interface evolution equations (IEEs) in which parameters are related to those of the full moving-boundary problem. In particular, the form of the linear dispersion relation of the IEE changes drastically for slow or for instantaneous attachment kinetics. In the former case the IEE takes the form of the well-known (noisy) Kuramoto-Sivashinsky equation, showing a morphological instability at short times that evolves into kinetic roughening of the Kardar-Parisi-Zhang (KPZ) class. In the instantaneous kinetics limit, the IEE combines the Mullins-Sekerka linear dispersion relation with a KPZ nonlinearity, and we provide a numerical study of the ensuing dynamics. In all cases, the long preasymptotic transients can account for the experimental difficulties in observing KPZ scaling. We also compare our results with relevant data from experiments and discrete models.
dc.description.sponsorship This work has been partially supported by UC3M/CAM (Spain) Grant No. UC3M-FI-05-007, CAM (Spain) Grant No. S-0505/ESP-0158, and by MEC (Spain), through Grants No. FIS2006-12253-C06-01, No. FIS2006-12253-C06-06, and the FPU program (M. N.).
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher The American Physical Society
dc.rights © The American Physical Society
dc.subject.other Statistical Mechanics
dc.subject.other Materials Science
dc.title Unified moving-boundary model with fluctuations for unstable diffusive growth
dc.type article
dc.type.review PeerReviewed
dc.description.status Publicado
dc.relation.publisherversion http://dx.doi.org/10.1103/PhysRevE.78.021601
dc.subject.eciencia Matemáticas
dc.identifier.doi https://www.doi.org/10.1103/PhysRevE.78.021601
dc.rights.accessRights openAccess
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