Self-similar solutions of the Stefan problem
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Investigation is made of one of the self-similar regimes in the problem of a crystal growing from a pure melt with an isothermal surface. This regime is shown to exist only in the case of two-dimensional, cylindrical, or spherical geometry of the crystal and also when a two-dimensional crystal grows on a surface isometric to the surface of revolution. Modeling of the spherical crystal growth by two-dimensional crystallization on the surface of revolution is discussed.
KeywordsCrystallization Statistical Physic Crystal Growth Spherical Geometry Isothermal Surface
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