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Growth of spherical and ellipsoidal crystals in a metastable liquid

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Abstract

In this paper, the growth rates of spherical and ellipsoidal crystals evolving in metastable melts and solutions are derived. Different scenarios and aspects of crystal growth (steady-state, unsteady-state, the phase transition temperature shift due to the curvature of the crystal surface and the kinetics of attaching atoms to it) are considered. The derived crystal growth laws under various process conditions are generalized and compared to experimental data.

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Acknowledgements

The theoretical part of this work is supported by the Russian Science Foundation (Grant number 18-19-00008). Numerical calculations were performed due to the support from the Ministry of Science and Higher Education of the Russian Federation [project no. FEUZ-2020-0057].

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Authors and Affiliations

  1. Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Institute of Natural Sciences and Mathematics, Ural Federal University, Lenin ave., 51, Ekaterinburg, 620000, Russian Federation

    Irina V. Alexandrova, Alexander A. Ivanov, Alexey P. Malygin, Dmitri V. Alexandrov & Margarita A. Nikishina

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  1. Irina V. Alexandrova
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  2. Alexander A. Ivanov
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  3. Alexey P. Malygin
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  4. Dmitri V. Alexandrov
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Correspondence to Alexander A. Ivanov.

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Alexandrova, I.V., Ivanov, A.A., Malygin, A.P. et al. Growth of spherical and ellipsoidal crystals in a metastable liquid. Eur. Phys. J. Spec. Top. 231, 1089–1100 (2022). https://doi.org/10.1140/epjs/s11734-022-00513-w

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