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Selection constants in the theory of stable dendritic growth

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Abstract

A stationary growth of the dendritic tip having the tip shape of an elliptical paraboloid in a binary liquid is considered. A method for constructing a selection criterion that allows one to obtain the growth rate and two radii of the dendritic tip as functions of undercooling is proposed. Selection constants are found theoretically for the n-fold crystalline symmetry. The theory is in good agreement with experimental data obtained on water and water solution previously described in literature.

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Authors and Affiliations

  1. Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Lenin Avenue 51, Ekaterinburg, 620000, Russia

    E. A. Titova, D. V. Alexandrov & P. K. Galenko

  2. Friedrich-Schiller-Universität-Jena, Physikalisch-Astronomische Fakultät, 07743, Jena, Germany

    P. K. Galenko

Authors
  1. E. A. Titova
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  2. D. V. Alexandrov
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  3. P. K. Galenko
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Correspondence to E. A. Titova.

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Titova, E.A., Alexandrov, D.V. & Galenko, P.K. Selection constants in the theory of stable dendritic growth. Eur. Phys. J. Spec. Top. 229, 2891–2897 (2020). https://doi.org/10.1140/epjst/e2020-000100-4

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