Abstract
The process of ongoing nucleation and evolution of particles in a metastable liquid caused by external mass sources and crystal withdrawal mechanism is considered. The steady-state and unsteady-state analytical solutions are found analytically. The crystal-size distribution function, as well as the standard Cauchy problem for the liquid supersaturation, are derived. The linear dynamic stability theory of steady-state solutions is developed. The neutral stability surface as a function of system parameters is determined.
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