Non-advective rate of curved step advance on smooth crystal face under steady-state conditions

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Persson, Rasmus
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For low to moderate supersaturations, crystals grow by lateral build-up of new layers. The edges of the layers are known as "steps". We consider the rate of step advance on a flat crystal face under the influence of bulk diffusion in the complete absence of advection, assuming a steady-state. In such circumstances, the step velocity tends asymptotically to zero as the radius of curvature increases. This counters the Gibbs-Thomson effect according to which the rate of step advance should asymptotically increase \textit{ceteris paribus} with increasing radius of curvature. Because of these competing effects, the rate of step advance is expected to be non-monotonous in the radius of curvature.
Comment: 10 pages, 1 figure
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Condensed Matter - Other Condensed Matter
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