Abstract
Phase field models of solidification in binary alloys with order parameter, concentration and temperature as field variables are reconsidered. The free energy in these models includes the gradient contributions due to the phase field and the concentration field. Equilibrium properties of these models, such as the phase diagrams for curved interfaces, spatial structure of the phase and the composition fields and the dependence of surface tension on the concentration of impurities are analyzed. Solute trapping in planar solidification is studied for several growth regimes, accounting for a substantial difference in the diffusivities of solid and liquid. Owing to this difference there exists partial solute trapping at certain solidification speeds.
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