Email this article Boundary Integral Equation Study of the Growth of a Dendritic Elliptic Paraboloid Crystal
- Authors: Titova E.A.1, Alexandrov D.V.1, Galenko P.K.1
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Affiliations:
- Ural Federal University
- Issue: Vol 2018, No 8 (2018)
- Pages: 737-741
- Section: Article
- URL: https://journals.rcsi.science/0036-0295/article/view/172044
- DOI: https://doi.org/10.1134/S0036029518080165
- ID: 172044
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Abstract
The free growth of a dendrite crystal in the form of an elliptic paraboloid from a melt is analyzed. The exact solution of the problem is shown to coincide with the well-known Harvey–Cahn solution in the absence of anisotropy and the Gibbs–Thomson effect. A criterion for the stable growth of an elliptic paraboloid dendrite is formulated.
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About the authors
E. A. Titova
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
P. K. Galenko
Ural Federal University
Email: dmitri.alexandrov@urfu.ru
Russian Federation, Yekaterinburg, 620002
