Kinetic roughening in a realistic model of non-conserved interface growth

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dc.contributor.author Nicoli, Matteo
dc.contributor.author Cañadas Castro, Mario
dc.contributor.author Cuerno, Rodolfo
dc.date.accessioned 2010-02-15T13:44:13Z
dc.date.available 2010-02-15T13:44:13Z
dc.date.issued 2009-02
dc.identifier.bibliographicCitation Journal of Statistical Mechanics: Theory and Experiment, 2009, P02036
dc.identifier.issn 1742-5468
dc.identifier.uri http://hdl.handle.net/10016/6863
dc.description 15 pages, 6 figures.-- PACS nrs.: 68.35.Ct, 81.15.Pq, 81.10.-h, 64.60.Ht.-- MSC2000 codes: 82C31, 82C70, 82C24, 74A50.
dc.description ArXiv pre-print available at: http://arxiv.org/abs/0812.4162
dc.description Final publisher version available Open Access at: http://gisc.uc3m.es/~cuerno/publ_list.html
dc.description.abstract We provide a quantitative picture of non-conserved interface growth from a diffusive field, placing special emphasis on two main issues, the range of validity of the effective small slopes (interfacial) theories and the interplay between the emergence of morphological instabilities in the aggregate dynamics, and its kinetic roughening properties. Taking for definiteness electrochemical deposition as our experimental field of reference, our theoretical approach makes use of two complementary approaches: interfacial effective equations and a phase-field formulation of the electrodeposition process. Both descriptions allow us to establish a close quantitative connection between theory and experiments. Moreover, we are able to correlate the anomalous scaling properties seen in some experiments with the failure of the small slope approximation, and to assess the effective re-emergence of standard kinetic roughening properties at very long times under appropriate experimental conditions.
dc.description.sponsorship This work has been partially supported by MEC (Spain), through Grants No. FIS2006-12253-C06-01 and No. FIS2006-12253-C06-06, and by CAM (Spain) through Grant No. S-0505/ESP-0158. M. N. acknowledges support by the FPU programme (MEC) and by Fundación Carlos III.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher IOP Publishing
dc.publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
dc.rights © IOP Publishing
dc.subject.other Free boundary problems (theory)
dc.subject.other Growth instabilities (theory)
dc.subject.other Kinetic roughening (theory)
dc.subject.other Surfaces, interfaces and thin films
dc.title Kinetic roughening in a realistic model of non-conserved interface growth
dc.type article
dc.type.review PeerReviewed
dc.description.status Publicado
dc.relation.publisherversion http://dx.doi.org/10.1088/1742-5468/2009/02/P02036
dc.subject.eciencia Matemáticas
dc.identifier.doi https://www.doi.org/10.1088/1742-5468/2009/02/P02036
dc.rights.accessRights openAccess
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