Nonlinear wavelength selection in surface faceting under electromigration

Details Nonlinear wavelength selection in surface faceting under electromigration Nonlinear wavelength selection in surface faceting under electromigration

2012-03-27

arxiv.org/abs/1203.5982v1

Physics

Condensed Matter

Materials Science

5 pages, 4 figures, submitted

Scientific paper

We report on the control of the faceting of crystal surfaces by means of surface electromigration. When electromigration reinforces the faceting instability, we find perpetual coarsening with a wavelength increasing as $t^{1/2}$. For strongly stabilizing electromigration, the surface is stable. For weakly stabilizing electromigration, a cellular pattern is obtained, with a nonlinearly selected wavelength. The selection mechanism is not caused by an instability of steady-states, as suggested by previous works in the literature. Instead, the dynamics is found to exhibit coarsening {\it before} reaching a continuous family of stable non-equilibrium steady-states.

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