Effects of stochastic nucleation in the first order phase transition

TL;DR

This paper analyzes the stochastic appearance of embryos during a first-order phase transition, proposing a new analytical approach, estimating corrections, and validating results with numerical simulations.

Contribution

Introduces a novel analytical method based on similarity of nucleation conditions and compares it with numerical simulations for accuracy.

Findings

Good agreement between theoretical and numerical results

Proposed approach improves understanding of embryo appearance

Corrections for droplet numbers are effectively estimated

Abstract

The effects of stochastic apppearence of embryos of a new phase are analyzed analytically. A new approach by the similarity of nucleation conditions is proposed. Corrections for a number of droplets are estimated. A comparison with numerical simulation is given. A good coincidence between theoretical and numerical results can be seen.