Abstract.
A phase‐field approach to binary alloys is studied. Formal asymptotics of the system of parabolic differential equations leads to new interface relations as part of a macroscopic model which arises in the limit of vanishing interface thickness. Under suitable conditions we prove that the phase‐field system has a unique solution which converges to the limiting macroscopic solution. The concentration and phase are monotonic across the interface for a simplified system. Transition layers in concentration are induced due to the change in phase and the change in material diffusion across the interface. Excess impurities may be trapped as a consequence of these layers.
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(Accepted October 28, 1996)
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Caginalp, G., Xie, W. An Analysis of Phase‐Field Alloys and Transition Layers. Arch Rational Mech Anal 142, 293–329 (1998). https://doi.org/10.1007/s002050050094
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DOI: https://doi.org/10.1007/s002050050094