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Variational mean-field study of a continuum model of crystalline tensionless 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.authorMoro, Esteban
dc.contributor.authorCuerno, Rodolfo
dc.date.accessioned2010-02-19T10:08:06Z
dc.date.available2010-02-19T10:08:06Z
dc.date.issued2001-03
dc.description9 pages, 6 figures.-- PACS nrs.: 64.60.Ht, 64.60.Cn, 68.35.Rh, 81.10.Aj.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/9912013
dc.description.abstractWe study analytically the equilibrium and near-equilibrium properties of a model of a d-dimensional surface relaxing via linear surface diffusion and subject to a lattice potential. We employ the variational mean-field formalism introduced by Saito for the study of the sine-Gordon model. In equilibrium, our variational theory predicts a first-order roughening transition between a flat low-temperature phase and a rough high-temperature phase with the properties of the linear molecular-beam epitaxy equation. Moreover, the study of a Gaussian approximation to the Langevin dynamics of the system indicates that the surface shows hysteresis when temperature is continuously tuned. Out of equilibrium, these approximate Langevin dynamics show that the surface mobility can have different behaviors as a function of a driving flux. Some considerations are made regarding different underlying lattices, and connections are drawn to related models or different approaches to the same model we study.
dc.description.sponsorshipThis work was partially supported by DGES Grant Nos. PB96-0119 and HB1999-0018, and EPSRC Grant No. GR/M04426.
dc.description.statusPublicado
dc.format.mimetypetext/html
dc.identifier.bibliographicCitationPhysical Review E 63, 036104 (2001)
dc.identifier.doihttps://www.doi.org/10.1103/PhysRevE.63.036104
dc.identifier.issn1539-3755
dc.identifier.urihttps://hdl.handle.net/10016/6942
dc.language.isoeng
dc.publisherThe American Physical Society
dc.relation.publisherversionhttp://dx.doi.org/10.1103/PhysRevE.63.036104
dc.rights© The American Physical Society
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.other[PACS] Dynamic critical phenomena
dc.subject.other[PACS] Order-disorder transformations
dc.subject.other[PACS] Phase transitions and critical phenomena
dc.subject.other[PACS] Theory and models of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation
dc.titleVariational mean-field study of a continuum model of crystalline tensionless surfaces
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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