https://doi.org/10.1140/epjs/s11734-022-00525-6
Regular Article
Desupersaturation dynamics in metastable solutions with ellipsoidal crystals
Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Lenin Ave., 51, 620000, Ekaterinburg, Russian Federation
Received:
21
April
2021
Accepted:
3
March
2022
Published online:
16
March
2022
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.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2022
