Open AccessEvolution of a Polydisperse Ensemble of Ellipsoidal Crystals with Fluctuating Growth Rates in Supercooled Melts
Author(s) -
Margarita A. Nikishina
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2114/1/012003
Subject(s) - supercooling , ellipsoid , laplace transform , distribution function , distribution (mathematics) , function (biology) , phase (matter) , phase transition , particle (ecology) , materials science , thermodynamics , statistical physics , mechanics , physics , classical mechanics , mathematical analysis , mathematics , geology , oceanography , astronomy , evolutionary biology , biology , quantum mechanics
In this paper, an analytical solution to the model of the evolution of ellipsoidal crystals with fluctuating growth rates at the intermediate step of bulk phase transition is presented. A complete system of integrodifferential equations describing the problem was derived and analytically solved using the Laplace integral method. The kinetics of supercooling removal in melts has been found. The particle-volume distribution function represents a pike-shaped curve decreasing its maximum with time. It is demonstrated the differences in the distribution function for ellipsoidal and spherical crystals.