부산대학교 도서관

To link to full-text access for this article, visit this link: http://dx.doi.org/10.1016/j.jcrysgro.2004.10.137 Byline: Frank Hausser, Axel Voigt Abstract: We consider surface modulations in epitaxial growth and study the formation of facets. Thereby the dynamics is assumed to be essentially interface-controlled and driven by a strongly anisotropic surface energy together with the incoming flux and modeled by a geometric evolution equation, which leads to facets and corners in the corresponding Wulff-shape. This interface evolution law, which is derived from a curvature dependent interfacial energy, is solved numerically using parametric finite elements. The numerical results indicate two basic stages for the formation of facets and corners. First, a rather periodic structure of hills and valleys is formed, being in agreement with the most unstable wavelength of the linearized dynamics. At the second stage, three distinct morphologies emerge, depending on the growth rate of the surface: faceting and coarsening occurs, periodic patterns emerge, or the surface becomes rough. Moreover, in the first case, the only coarsening event is a kink ternary, i.e. a coalescence of two kinks and one antikink resulting in a kink. Author Affiliation: Crystal Growth Group, Research Center Caesar, Ludwig-Erhard-Allee 2, D-53175, Bonn, Germany