Eur. Phys. J. Special Topics 229, 375-382 (2020)
https://doi.org/10.1140/epjst/e2019-900080-6

Regular Article

On the theory of phase transformation process in a binary supercooled melt

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

^a e-mail: eugenya1m@gmail.com

Received: 8 May 2019
Published online: 11 February 2020

Abstract

The processes of bulk crystallization of a supercooled binary melt where the nucleation and growth of solid particles occur are considered with allowance for different mechanisms of nucleation kinetics. A nonlinear set of integro-differential equations is analytically solved by means of the saddle-point technique. The crystal-radius distribution function, temperature, solute concentration, and supercooling of a binary liquid are found taking into account the nonlinear growth rates of spherical crystals. The supercooling represents a decreasing function of time while the distribution function increases up to a maximum size of crystals in a metastable melt.