Morphological stability of electromigration-driven vacancy islands
摘要
The electromigration-induced shape evolution of two-dimensional vacancy islands on a crystal surface is studied using a continuum approach. We consider the regime where mass transport is restricted to terrace diffusion in the interior of the island. In the limit of fast attachment/detachment kinetics a circle translating at constant velocity is a stationary solution of the problem. In contrast to earlier work [O. Pierre-Louis and T.L. Einstein, Phys. Rev. B 62, 13697 (2000)] we show that the circular solution remains linearly stable for arbitrarily large driving forces. The numerical solution of the full nonlinear problem nevertheless reveals a fingering instability at the trailing end of the island, which develops from finite amplitude perturbations and eventually leads to pinch-off. Relaxing the condition of instantaneous attachment/detachment kinetics, we obtain non-circular elongated stationary shapes in an analytic approximation which compares favorably to the full numerical solution.
引用
@article{arxiv.cond-mat/0701208,
title = {Morphological stability of electromigration-driven vacancy islands},
author = {Frank Hausser and Philipp Kuhn and Joachim Krug and Axel Voigt},
journal= {arXiv preprint arXiv:cond-mat/0701208},
year = {2015}
}
备注
12 pages