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- W2033218538 abstract "The growth of a crystal into an undercooled liquid is studied within a phase field model. In contrast to the usual Landau–Ginzburg approach, the free energy as a function of the order parameter is taken to be a pair of intersecting parabolas. This model is completely solvable and shows a transition from heat-diffusion allowed to disallowed steady-state crystal growth. Analytical expressions for the interface velocity and for the order parameter and temperature profiles are obtained and extensively discussed. In comparison with the Landau–Ginzburg model, most qualitative and quantitative features are the same. However, the solution of the present model is more general, avoiding perturbation theory, and gives a clearcut picture of the underlying transition." @default.
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- W2033218538 date "1991-04-15" @default.
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- W2033218538 title "Diffusion disallowed crystal growth. II. A parabolic model" @default.
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- W2033218538 doi "https://doi.org/10.1063/1.460479" @default.
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