Continuum models for surface growth

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dc.creatorRost, Martin
dc.date2004-05-07
dc.date.accessioned2026-07-07T02:58:02Z
dc.date.available2026-07-07T02:58:02Z
dc.descriptionAs an introductory lecture to the workshop an overview is given over continuum models for homoepitaxial surface growth using partial differential equations (PDEs). Their {\em heuristic derivation} makes use of inherent symmetries in the physical process (mass conservation, crystal symmetry, ...) which determines their {\em structure}. Two examples of applications are given, one for large scale properties, one including crystal lattice discreteness. These are: (i) a simplified model for {\em mound coarsening} and (ii) for the transition from {\em layer-by-layer} to {\em rough growth}. Virtues and shortcomings of this approach is discussed in a concluding section.
dc.descriptionLecture held at Oberwolfach Workshop "Multiscale modeling in epitaxial growth", submitted to Birkhauser Internatinal Series in Numerical Mathematics, 13 pages Latex
dc.identifierhttps://arxiv.org/abs/cond-mat/0405142
dc.identifierhttp://arxiv.org/abs/cond-mat/0405142
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23913
dc.subjectMaterials Science
dc.subjectStatistical Mechanics
dc.titleContinuum models for surface growth
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