Nucleation and particle growth with fluctuating rates at the intermediate stage of phase transitions in metastable systems

Abstract

An exact analytical solution of an integro-differential model describing the transient nucleation of solid particles (nuclei) and their growth with fluctuating rates at the intermediate stage of bulk phase transitions in metastable systems is constructed. Two important cases of the Weber-Volmer-Frenkel-Zel'dovich and Mier nucleation kinetics are detailed for supercooled melts and supersaturated solutions. © 2013 The Author(s) Published by the Royal Society. All rights reserved.