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arXiv · 1102.5184

Capillary-Wave Model for the Solidification of Dilute Binary Alloys

Alexander L. Korzhenevskii·Richard Bausch·Rudi Schmitz
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Abstract

Starting from a phase-field description of the isothermal solidification of a dilute binary alloy, we establish a model where capillary waves of the solidification front interact with the diffusive concentration field of the solute. The model does not rely on the sharp-interface assumption, and includes non-equilibrium effects, relevant in the rapid-growth regime. In many applications it can be evaluated analytically, culminating in the appearance of an instability which, interfering with the Mullins-Sekerka instability, is similar to that, found by Cahn in grain-boundary motion.

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Alexander L. Korzhenevskii, Richard Bausch, Rudi Schmitz. 2011-02-25. Capillary-Wave Model for the Solidification of Dilute Binary Alloys. https://doi.org/10.1103/physreve.83.041609

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