Possible origin for the experimental scarcity of KPZ scaling in non-conserved surface growth

e-Archivo Repository

Show simple item record

dc.contributor.author Cuerno, Rodolfo
dc.contributor.author Cañadas Castro, Mario
dc.date.accessioned 2010-02-18T15:12:44Z
dc.date.available 2010-02-18T15:12:44Z
dc.date.issued 2002-11-01
dc.identifier.bibliographicCitation Physica A: Statistical Mechanics and its Applications, 2002, vol. 314, n. 1-4, p. 192-199
dc.identifier.issn 0378-4371
dc.identifier.uri http://hdl.handle.net/10016/6928
dc.description 8 pages, 1 figure.-- PACS nrs.: 68.35.Ct; 64.60.Ht; 81.15.Gh; 81.15.Pq.-- MSC2000 codes: 82D20, 35Q53.
dc.description Dedicated to H.E. Stanley on the occasion of his 60th birthday.
dc.description Zbl#: Zbl 1001.82109
dc.description.abstract The Kardar–Parisi–Zhang (KPZ) equation is generically expected to describe the scaling properties of rough surfaces growing in the absence of conservation laws. However, very few experimental realizations are known of this universality class. Here we focus on the role of instabilities, whether of diffusional origin or other, as physical mechanisms hindering the observation of KPZ scaling. Examples are drawn from various growth processes, such as electrochemical deposition (ECD), chemical vapor deposition (CVD), and erosion by ion-beam sputtering. We moreover consider an interface equation which, starting from the corresponding constitutive equations, can be derived to describe growth by either ECD or CVD depending on the interpretation of the quantities appearing. This approach makes contact with phenomenological parameters, and suggests that a more generic description of non-conserved growth may be provided by the Kuramoto–Sivashinsky equation and generalizations thereof. In this case, the experimental scarcity of KPZ scaling would be due to exceedingly long transients determined by the instabilities that occur.
dc.description.sponsorship Work partially supported by DGES (Spain) Grant No. BFM2000-0006.
dc.format.mimetype text/html
dc.language.iso eng
dc.publisher Elsevier
dc.rights © Elsevier
dc.subject.other Kinetic roughening
dc.subject.other KPZ equation
dc.subject.other Kuramoto–Sivashinsky equation
dc.subject.other Moving boundary problem
dc.subject.other Noise
dc.subject.other Ion-beam sputtering
dc.subject.other Chemical vapor deposition
dc.subject.other Electrochemical deposition
dc.title Possible origin for the experimental scarcity of KPZ scaling in non-conserved surface growth
dc.type article
dc.type.review PeerReviewed
dc.description.status Publicado
dc.relation.publisherversion http://dx.doi.org/10.1016/S0378-4371(02)01148-2
dc.subject.eciencia Matemáticas
dc.identifier.doi https://www.doi.org/10.1016/S0378-4371(02)01148-2
dc.rights.accessRights openAccess
 Find Full text

Files in this item

*Click on file's image for preview. (Embargoed files's preview is not supported)


This item appears in the following Collection(s)

Show simple item record