https://doi.org/10.1140/epjs/s11734-026-02360-5
Review
Kinetics of crystal growth in supercooled eutectic melts
Department of Pyrometallurgical and Foundry Technologies, South Ural State University, Lenin Prospekt, 454080, Chelyabinsk, Russia
a
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Received:
16
March
2026
Accepted:
28
April
2026
Published online:
11
May
2026
Abstract
A mathematical model of crystal growth from a supercooled eutectic melt has been developed using the methods of non-equilibrium thermodynamics. The mathematical model comprehensively takes into account interrelated diffusion processes in the melt phase and processes at the interface. To describe the patterns of phase boundary motion and non-linear effects at the interface, an expression for the crystal growth rate derived using variational thermodynamic methods is applied. A method for the dynamic modeling of changes in the component concentration at the surface of the growing crystal is proposed, which takes into account possible deviations from local equilibrium. The developed method allows the calculation of the dynamics of component concentration changes during crystal growth. As an example, the growth of the metastable Fe₃B phase in a melt of eutectic composition Fe₈₃B₁₇ under deep supercooling was studied. The patterns of crystal growth and the change in component concentration near its surface at various stages of the process were investigated. During the crystallization process, a dynamic change in the concentration of components occurs at the surface of the growing crystal. It is found that neglecting the dynamics of concentration changes during supercooling leads to significant errors in calculating the growth rate. The proposed approach can be used for more accurate prediction of phase transformations in supercooled melts.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
