Mathematical Simulation of the Crystal Nucleation and Growth at the Intermediate Stage of a Phase Transition
- Authors: Makoveeva E.V.1, Alexandrov D.V.1
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Affiliations:
- Ural Federal University
- Issue: Vol 2018, No 8 (2018)
- Pages: 707-715
- Section: Article
- URL: https://journals.rcsi.science/0036-0295/article/view/172027
- DOI: https://doi.org/10.1134/S0036029518080128
- ID: 172027
Cite item
Abstract
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.
Keywords
About the authors
E. V. Makoveeva
Ural Federal University
Email: Dmitri.Alexandrov@urfu.ru
Russian Federation, Yekaterinburg, 620002
D. V. Alexandrov
Ural Federal University
Author for correspondence.
Email: Dmitri.Alexandrov@urfu.ru
Russian Federation, Yekaterinburg, 620002