Kinetics of nucleation for the decreasing rate of the new embryos growth

TL;DR

This paper investigates the kinetics of first-order phase transitions, focusing on cases without avalanche growth, providing analytical models and characterizing the nucleation period and size spectrum of new phase objects.

Contribution

It offers a comprehensive analysis of nucleation kinetics without avalanche growth, including analytical approximations and error assessments for various external conditions.

Findings

Derived size spectrum of nucleation objects

Developed analytical models with small errors

Characterized nucleation kinetics under different conditions

Abstract

Kinetics of the first order phase transition is investigated. In some rather wide spread situations the property of avalanche growth of the objects of a new phase doesn't take place. This radically complicates the theoretical description of the nucleation kinetics and this case was completely investigated here. The power-like dependencies with decreasing absolute value of derivative on time were chosen as the model laws of embryos growth. All main characteristics of the nucleation period including the spectrum of sizes of the new phase objects were obtained. An analytical approximate description of nucleation in different external conditions was fulfilled. The errors of such description are found and proved to be small.