Mathematical modeling of the growth of ellipsoidal crystals in
metastable melts and solutions
Abstract
The evolution of individual crystals of ellipsoidal shape in supercooled
one-component and binary melts as well as in supersaturated solutions is
studied theoretically. The crystal volume growth rate is derived using
the prolate ellipsoidal coordinates. We show that this rate is a
function of the current crystal volume and supercooling/supersaturation
of the ambient liquid. Also, we demonstrate that the particle growth
rate increases with increasing the volume of ellipsoidal crystals and
supercooling.
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