RT Journal Article
T1 Unified moving-boundary model with fluctuations for unstable diffusive growth
A1 Nicoli, Matteo
A1 Cañadas Castro, Mario
A1 Cuerno, Rodolfo
AB 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.
PB The American Physical Society
SN 1539-3755
YR 2008
FD 2008-08
LK https://hdl.handle.net/10016/6864
UL https://hdl.handle.net/10016/6864
LA eng
NO 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
NO MR#: MR2496824 (2010c:82073)
NO Final publisher version available Open Access at: http://gisc.uc3m.es/~cuerno/publ_list.html
NO 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.).
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RD 27 jul. 2024