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Desupersaturation dynamics in metastable solutions with ellipsoidal crystals

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Abstract

This paper develops a theory of the evolution of a polydisperse ensemble of ellipsoidal crystals in supersaturated solutions at an intermediate phase transition stage. The mathematical model of the process takes into account the “diffusion” mechanism of the crystal distribution function in the space of their volumes, as well as various kinetics of particle nucleation. The law for the growth rate of individual ellipsoidal crystals was derived and a complete analytical solution describing the evolution of an ensemble of such crystals was obtained. The evolutionary behavior of the supersaturation removal in a metastable solution is analyzed and the crystal-volume distribution function is determined. The theory under study is compared with experimental data.

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Acknowledgements

The theoretical part of this work is supported by the Russian Science Foundation (Grant no. 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, Ural Federal University, Lenin Ave., 51, Ekaterinburg, 620000, Russian Federation

    Margarita A. Nikishina & Dmitri V. Alexandrov

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  1. Margarita A. Nikishina
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  2. Dmitri V. Alexandrov
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Correspondence to Dmitri V. Alexandrov.

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Nikishina, M.A., Alexandrov, D.V. Desupersaturation dynamics in metastable solutions with ellipsoidal crystals. Eur. Phys. J. Spec. Top. 231, 1107–1113 (2022). https://doi.org/10.1140/epjs/s11734-022-00525-6

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