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Morphological stability of electromigration-driven vacancy islands | | Frank Hausser
; Philipp Kuhn
; Joachim Krug
; Axel Voigt
; | | Date: |
10 Jan 2007 | | Subject: | Materials Science; Soft Condensed Matter | | Abstract: | 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. | | Source: | arXiv, cond-mat/0701208 | | Other source: | [GID 181610] pmid17500981 | | Services: | Forum | Review | PDF | Favorites | |
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