Abstract
The growth and morphological stability of a precipitate in a multi-component solution with cross diffusion between solute species is studied by using the asymptotic method. The resulting asymptotic solution for the dynamics model of the precipitate reveals the relationship between precipitate growth and solute diffusion, and the absolute and relative stability criteria of the precipitate in the multi-component solution with cross diffusion between solute species. The absolute and relative stability radii of the precipitate are determined. It is demonstrated that the growth velocity and size of the precipitate in the multi-component solution are controlled by a growth factor that is determined by the solute diffusion coefficients. In the multi-component solution with cross diffusion between solute species, via the co-action between cross diffusion of solute species and interface kinetic undercooling, the precipitate enhances or reduces the morphological stability by changing the growth factor. In the multi-component solution, the interface kinetics decreases the growth velocity of the precipitate, and enhances the stability of the precipitate. When the interface kinetic undercooling is neglected, the absolute and relative stability criteria of the precipitate remain the same whether the diffusion of solute species is intrinsic or cross diffusive.
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