2001/07/30 by M. Rusanen, Ismo T. Koponen, I. T. Koponen +2
Engineering · Materials Science · Physics and Astronomy · #Fluid Dynamics and Thin Films #Solidification and crystal growth phenomena #Theoretical and Computational Physics #cond-mat.mtrl-sci
paper · pdf · doi:10.1016/s0039-6028(02)01262-1
published as Surf. Sci. vol. 507-510, 305 (2002) · 4 pages, 3 figures, RevTex
arxiv created 2001/07/30 · openalex publication_date 2002/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the meandering instability during growth of an isolated nanostructure, a crystalline cone, consisting of concentric circular steps. The onset of the instability is studied analytically within the framework of the standard Burton-Cabrera-Frank model, which is applied to describe step flow growth in circular geometry. We derive the correction to the most unstable wavelength and show that in general it depends on the curvature in a complicated way. Only in the asymptotic limit where the curvature approaches zero the results are shown to reduce to the rectangular case. The results obtained here are of importance in estimating growth regimes for stable nanostructures against step meandering.