This article is cited in 22 papers

CONDENSED MATTER

Mechanism of growth of a crystalline nucleus in a supercooled melt at large deviations from equilibrium

A. A. Chernov^ab, A. A. Pil'nik<sup>ab

a</sup> Kutateladze Institute of Thermophysics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent'eva 1, Novosibirsk, 630090, Russia
^b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

Abstract: A nonequilibrium model of the growth of a spherical crystal in a supercooled melt has been presented. The model includes correctly the effect of melt heating near the phase boundary, which considerably affects the growth rate of the crystal. The analytical solution of the problem has been found under the conditions of a strongly nonstationary process and large deviations from equilibrium. It has been shown that the previous solutions found in the quasi-steady-state approximation are the special cases of the solution found in this work. It has been demonstrated that the equilibrium is achieved at the crystallization front after some time if the initial supercooling is below the thermal effect of the phase transition (the Kutateladze criterion is greater than unity). In this case, the solution of the problem becomes self-similar. The crystal grows all the time under essentially nonequilibrium conditions if the initial supercooling is above the critical one. The effect of substance shrinkage on the growth rate of the crystal has been investigated.

Received: 24.08.2015

DOI: 10.7868/S0370274X15200096

 English version: Journal of Experimental and Theoretical Physics Letters, 2015, 102:8, 526–529

Bibliographic databases:

• 
• 
•