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# Faceting of a growing crystal surface by surface diffusion.

@article{Savina2003FacetingOA, title={Faceting of a growing crystal surface by surface diffusion.}, author={T. V. Savina and Alexander A. Golovin and S. H. Davis and Alexander A. Nepomnyashchy and Peter W. Voorhees}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2003}, volume={67 2 Pt 1}, pages={021606} }

- Published 2003 in Physical review. E, Statistical, nonlinear, and…

Consider faceting of a crystal surface caused by strongly anisotropic surface tension, driven by surface diffusion and accompanied by deposition (etching) due to fluxes normal to the surface. Nonlinear evolution equations describing the faceting of 1+1 and 2+1 crystal surfaces are studied analytically, by means of matched asymptotic expansions for small growth rates, and numerically otherwise. Stationary shapes and dynamics of faceted pyramidal structures are found as functions of the growth… CONTINUE READING