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Updated: Sep 6, 2025

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
Published on: May 15, 2017
Dynamical law of the phase interface motion in the presence of crystals nucleation
Liubov V Toropova1,2, Dmitri V Alexandrov3
1Otto-Schott-Institut für Materialforschung, Friedrich-Schiller-Universität-Jena, 07743, Jena, Germany. liubov.toropova@uni-jena.de.
Abstract:
In this paper, we develop a theory of solid/liquid phase interface motion into an undercooled melt in the presence of nucleation and growth of crystals. A set of integrodifferential kinetic, heat and mass transfer equations is analytically solved in the two-phase and liquid layers divided by the moving phase transition interface. To do this, we have used the saddle-point method to evaluate a Laplace-type integral and the small parameter method to find the law of phase interface motion. The main result is that the phase interface Z propagates into an undercooled melt with time t as [Formula: see text] with allowance for crystal nucleation. The effect of nucleation is in the second contribution, which is proportional to [Formula: see text] whereas the first term [Formula: see text] represents the well-known self-similar solution. The nucleation and crystal growth processes are responsible for the emission of latent crystallization heat, which reduces the melt undercooling and constricts the two-phase layer thickness (parameter [Formula: see text]).
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