The dynamics of a material in two phases is studied in the context of phase-field models based on a Landau–Ginzburg free energy functional. They consist of a system of two nonlinear diffusion equations for the temperature and order parameter. The interface between the two phases is treated as a moving internal layer in two space dimensions, with thickness O(ε ),ε being a naturally occurring small parameter. Among other things, a dynamical interfacial relation is derived.
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Caginalp et al. (1988) studied this question.
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