The relaxation of axisymmetric crystal surfaces with a single facet below the roughening transition is studied via a continuum approach that accounts for step energy g1>0 and step-step interaction energy g3>0 For diffusion-limited kinetics, free-boundary, and boundary-layer theories are used for self-similar shapes close to the growing facet. For long times and g3/g1<1,(a) a universal equation is derived for the shape profile, (b) the layer thickness varies as(g3/g1<1)1/3,(c) distinct solutions are found for different g3/g1, and (d) for conical shapes, the profile peak scales as (g3/g1<1)−1/6.These results compare favorably with kinetic simulations.
|Original language||English (US)|
|Journal||Physical Review B - Condensed Matter and Materials Physics|
|State||Published - Jan 26 2004|
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics