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

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorCuerno, Rodolfo
dc.contributor.authorCañadas Castro, Mario
dc.date.accessioned2010-02-18T15:12:44Z
dc.date.available2010-02-18T15:12:44Z
dc.date.issued2002-11-01
dc.description8 pages, 1 figure.-- PACS nrs.: 68.35.Ct; 64.60.Ht; 81.15.Gh; 81.15.Pq.-- MSC2000 codes: 82D20, 35Q53.
dc.descriptionDedicated to H.E. Stanley on the occasion of his 60th birthday.
dc.descriptionZbl#: Zbl 1001.82109
dc.description.abstractThe 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.sponsorshipWork partially supported by DGES (Spain) Grant No. BFM2000-0006.
dc.description.statusPublicado
dc.format.mimetypetext/html
dc.identifier.bibliographicCitationPhysica A: Statistical Mechanics and its Applications, 2002, vol. 314, n. 1-4, p. 192-199
dc.identifier.doihttps://www.doi.org/10.1016/S0378-4371(02)01148-2
dc.identifier.issn0378-4371
dc.identifier.urihttps://hdl.handle.net/10016/6928
dc.language.isoeng
dc.publisherElsevier
dc.relation.publisherversionhttp://dx.doi.org/10.1016/S0378-4371(02)01148-2
dc.rights© Elsevier
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherKinetic roughening
dc.subject.otherKPZ equation
dc.subject.otherKuramoto–Sivashinsky equation
dc.subject.otherMoving boundary problem
dc.subject.otherNoise
dc.subject.otherIon-beam sputtering
dc.subject.otherChemical vapor deposition
dc.subject.otherElectrochemical deposition
dc.titlePossible origin for the experimental scarcity of KPZ scaling in non-conserved surface growth
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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