Kinetics of nucleation under the break of the blow-up growth

TL;DR

This paper develops an analytical theory for the kinetics of first order phase transitions where droplet sizes are limited, challenging previous assumptions about phase consumption during nucleation.

Contribution

It introduces new methods for solving kinetic equations considering droplet size limits, providing a more accurate description of phase transition kinetics.

Findings

Limit on droplet size affects phase transition dynamics

Analytical formulas describe key process characteristics

Challenges previous assumptions about phase consumption

Abstract

Kinetics of the first order phase transition has been investigated. The case when the droplets sizes have a limit value is considered. An analytical theory for such process has been constructed and all main characteristics of the process have been determined by rather simple approximate analytical formulas. The limit for a droplets size violates the avalanche consumption of the mother phase which is the basic feature of the first order phase transition and have been actively used in previous publications. Now one can not state that the main quantity of the already condensated substance is contained in the droplets formed under conditions unperturbed by nucleation process. This requires to introduce some new methods of solutions for kinetic equation which are given in the present paper.