Abstract
In crystal growth of a dilute alloy from a melt the spreading of solute atoms into the liquid and solid phases leads to a variety of dynamic instabilities of the crystal surface. In addition to the diffusion-induced Mullins-Sekerka instability, leading to dendritic structures, a couple of new instabilities appears due to the segregation layer of solute atoms, covering the crystal surface. One of these instabilities is generated by the decrease of the layer with increasing growth velocity whereas the other one is due to convective flow of solute atoms along the surface. Both instabilities occur within velocity windows which, controlled by the system parameters, appear like a new phase in a non-equilibrium situation. All these features can be demonstrated by an exact analysis of a simple set of model systems for the growth scenario.
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