Journal of Engineering Physics and Thermophysics

, Volume 63, Issue 4, pp 1032–1036 | Cite as

Self-similar solutions of the Stefan problem

  • M. F. Prokhorova


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.


Crystallization Statistical Physic Crystal Growth Spherical Geometry Isothermal Surface 
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    M.-A. Lemieux and G. Kotliar, Phys. Rev. A.,36, No. 10, 4975–4983 (1987).Google Scholar

Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • M. F. Prokhorova

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