Explicit two cycle model in investigation of stochastic effects in diffusion regime of metastable phase decay

TL;DR

This paper develops a theoretical model to analyze stochastic effects in the decay of metastable phases, comparing analytical predictions with numerical simulations for droplet formation and growth.

Contribution

It introduces an explicit two-cycle model for stochastic embryo appearance in metastable phase decay, accounting for both free molecular and diffusion droplet growth regimes.

Findings

Analytical calculations of mean droplet number deviations.

Dispersion of total droplet number distribution derived analytically.

Good agreement between analytical results and numerical simulations.

Abstract

The theory for manifestation of stochastic appearance of embryos in the global decay of metastable phase has been constructed. The regime of droplets growth is supposed to be both free molecular one and diffusion one. The deviation for a mean droplets number from the value predicted by the theory based on averaged characteristics have been calculated. The value of dispersion for the distribution of the total droplets number in particular attempt has been also calculated analytically. Comparison with results of numerical simulation has been given and the correspondence between simulation and analytical approximate results is rather good.