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Superroughening versus intrinsic anomalous scaling of surfaces

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorLópez, Juan Manuel
dc.contributor.authorRodríguez, Miguel Ángel
dc.contributor.authorCuerno, Rodolfo
dc.date.accessioned2010-02-22T12:39:12Z
dc.date.available2010-02-22T12:39:12Z
dc.date.issued1997-10
dc.description6 pages, 3 figures.-- PACS nrs.: 05.40.+j, 05.70.Ln, 68.35.Fx.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/9703024
dc.descriptionFinal publisher version available Open Access at: http://gisc.uc3m.es/~cuerno/publ_list.html
dc.description.abstractWe study kinetically rough surfaces which display anomalous scaling in local properties such as the roughness or the height-difference correlation function. By studying the power spectrum of the surface and its relation to the height-difference correlation, we distinguish two independent causes for anomalous scaling. One is superroughening (global roughness exponent larger than or equal to 1), even if the spectrum behaves nonanomalously. Another cause is what we term an intrinsically anomalous spectrum, in whose scaling an independent exponent exists, which induces different scaling properties for small and large length scales. We show that in this case the surface does not need to be superrough in order to display anomalous scaling. The scaling relations we propose for the structure factor and height-difference correlation for intrinsically anomalous surfaces are shown to hold for a random diffusion equation, independently of the value of the global roughness exponent below or above one.
dc.description.sponsorshipJ.M.L. acknowledges the Postdoctoral Pogram of Universidad de Cantabria for support at Instituto de Física de Cantabria where most of this work has been done. R.C. also acknowledges warm hospitality at Instituto de Física de Cantabria. This work has been supported by DGICyT of the Spanish Government under Project No. PB93-0054-C02-02.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationPhysical Review E, 1997, vol. 56, n. 4, p. 3993-3998
dc.identifier.doihttps://www.doi.org/10.1103/PhysRevE.56.3993
dc.identifier.issn1539-3755
dc.identifier.urihttps://hdl.handle.net/10016/6959
dc.language.isoeng
dc.publisherThe American Physical Society
dc.relation.publisherversionhttp://dx.doi.org/10.1103/PhysRevE.56.3993
dc.rights© The American Physical Society
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.other[PACS] Fluctuation phenomena, random processes, noise, and Brownian motion
dc.subject.other[PACS] Nonequilibrium and irreversible thermodynamics
dc.subject.other[PACS] Diffusion; interface formation
dc.titleSuperroughening versus intrinsic anomalous scaling of surfaces
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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