Russian Metallurgy (Metally)

, Volume 2018, Issue 8, pp 707–715 | Cite as

Mathematical Simulation of the Crystal Nucleation and Growth at the Intermediate Stage of a Phase Transition

  • E. V. Makoveeva
  • D. V. AlexandrovEmail author


The crystal nucleation and growth in supercooled melts and supersaturated solutions are theoretically studied with allowance for the “diffusion” term in a kinetic equation for a distribution function. The flux of crystals of a given size from a metastable system and the heat flow from it are taken into account, and the nucleation frequency is considered according to the Meirs kinetics. Analytical solutions to stationary and nonstationary problems are obtained.


nucleation crystal growth phase transition crystallizer 



This work was supported in part by the Russian Foundation for Basic Research, project no. 16-08-00932.


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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Ural Federal UniversityYekaterinburgRussia

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