title: Capillary-wave model for the solidification of dilute binary alloys.
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 nonequilibrium effects, relevant in the rapid-growth regime. In many applications it can be evaluated analytically, culminating in the appearance of an instability that, interfering with the Mullins-Sekerka instability, is similar to that found by Cahn in grain-boundary motion.
authors: Institute for Problems of Mechanical Engineering, RAS, Bol'shoi prospect. V. O., 61, St Petersburg, 199178, Russia.
authors: Alexander L
authors: AL
authors: Korzhenevskii
authors: Richard
authors: R
authors: Bausch
authors: Rudi
authors: R
authors: Schmitz