I. G. Nizovtseva

TL;DR: A generalized theory of nucleation and growth of crystals in a metastable (supercooled or supersaturated) liquid is developed taking into account two principal effects: the diffusion mechanism of the particle-size distribution function in the space of particle radii and the unsteady-state growth rates of individual crystals induced by fluctuations in external temperature or concentration field.

TL;DR: In this paper, the process of nucleation and unsteady-state growth of spherical crystals in a supersaturated solution is considered with allowance for the Weber-Volmer-Frenkel-Zel’dovich and Meirs kinetic mechanisms.

TL;DR: The dynamics of the diffuse interface between liquid and solid states is analysed and the influence of the driving force on the phase-field profile, amplitude velocity and correlation length is investigated for various relaxation times of the gradient flow.

TL;DR: In this paper , an integrodifferential system of governing equations, consisting of a kinetic equation for the particle-size distribution function (Fokker-Planck type equation) and a balance equation for temperature (concentration) of a metastable medium, is formulated.

TL;DR: In this article, a mathematical model is developed to describe quasi-stationary solidification, and its analytical solution is constructed with allowance for a nonlinear liquidus line equation, where a deviation of the liquidus equation from a linear function is shown to result in a substantial change in the solidification parameters.