Different approaches to describe depletion regions in first order phase transition kinetics

TL;DR

This paper discusses various methods to describe depletion regions in first-order phase transition kinetics, analyzing stochastic effects and proposing a new solution with an effective fixed boundary to improve understanding.

Contribution

It introduces a novel solution with an effective fixed boundary for nucleation theory, addressing limitations of previous fixed boundary approaches.

Findings

Main stochastic characteristics are obtained.

Negative features of fixed boundary solutions are outlined.

A new effective fixed boundary solution is proposed.

Abstract

The theory of nucleation with depletion zones is discussed. The approach of stochastic effects of solitary droplet is analyzed. The negative features of a solution with fixed boundary are outlined. A new solution with effective fixed boundary is proposed. All main stochastic characteristics are obtained.