Anisotropic Surface Energy
نویسنده
چکیده
We discuss several new results concerning free boundary problems for free anisotropic surface energies. The boundary terms contain wetting and line tension. Introduction An anisotropic surface energy is one that depends on the direction of a surface at each point. They were introduced by Josiah Gibbs to model the equilibrium shape of a crystal [16]. Whereas the surface energy of a liquid drop is isotropic, the ordered arrangement of molecules in a crystal mean that its interfacial energy depends on the surface direction. Some time after the discovery of liquid crystals in 1888, anisotropic surface energies were applied to study their interfacial surface energy also. The typical anchoring energy of a liquid crystal-liquid interface is of the form
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