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This paper discusses two thermal effects of crystallization, which may be of interest for the community of molecular dynamics modelers. The first effect deals with the problem of motion of a plane interface in the system with internal cooling. It provides a simple recipe for identification of the kinetic coefficient of growth as a function of the measurable quantities, which does not require direct measurement of the interfacial temperature during the crystallization. The second effect deals with a heat-trapping effect, which consists in the crystallization of a solid phase from the supercooled liquid when the temperature of the crystallized solid is above the melting point.