Corrections to a mean number of droplets in nucleation

TL;DR

This paper analyzes corrections to the mean droplet number in nucleation, showing that simple models with fixed boundaries are insufficient, and emphasizing the importance of initial droplets in predicting nucleation behavior.

Contribution

It demonstrates that considering only the first droplets within an averaged characteristic framework suffices for accurate nucleation predictions, despite more complex models.

Findings

Two-stage models with fixed boundaries are inadequate.

Multi-stage models do not significantly alter results.

Focusing on initial droplets yields accurate predictions.

Abstract

Corrections to a mean number of droplets appeared in the process of nucleation have been analyzed. The two stage model with a fixed boundary can not lead to a write result. The multi stage generalization of this model also can not give essential changes to the two stage model. The role of several first droplets have been investigated and it is shown that an account of only first droplet with further appearance in frame of the theory based on the averaged characteristics can lead to a suitable results. Both decay of metastable phase and smooth variations of external conditions have been investigated.