The nonequilibrium stage Phase transition of the first kind: stochastic models and algorithms for solving

The initial fluctuation stage of the first-kind phase transition is represented by a condensation process model described by stochastic differential equations (SDE) with Wiener and Poisson components. Stable algorithms for solving the SDE for the continuous component of the process are supplemented by algorithms for modeling the inhomogeneous Poisson measure. Clustering of the nuclei of the liquid phase in the form of drops takes into account the Rayleigh instability of charged drops. Calculations of the charge dispersion of melt drops of silicon carbide illustrate the formation of their bimodal size distribution in the process of obtaining the powder.