Abstract
The objective of much research is to make mathematical models for various types of crystal-surface motions and to prove theorems, develop new methods of computation, and apply the results to problems in materials science. Surface curvature affects phase equilibria and drivingforces for phase change and surface motion, whether the surfaces have isotropic or anisotropic surface free energy. Weighted mean curvature reveals how the free energy of curved surfaces acts as a thermodynamic driving force and, thus, how it interacts with bulk free energies. The relations are valid for anisotropic surfaces even when faceted, although faceting often affects kinetics. The mechanisms for surface motion that are considered are attachment/detachment kinetics, diffusion of atoms over surfaces, and, perhaps, diffusion within the bulk phases.
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David Caraballo, Princeton University Mathematics Department thesis (1996).
Nung-Kwan Yip, Princeton University Mathematics Department thesis (1996).
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Taylor, J.E. Thermodynamic driving forces and anisotropic interface motion. JOM 48, 19–22 (1996). https://doi.org/10.1007/BF03223260
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DOI: https://doi.org/10.1007/BF03223260