Beyond the constraints underlying Kolmogorov-Johnson-Mehl-Avrami theory related to the growth laws

TL;DR

This paper introduces a correlation function approach to overcome limitations of the KJMA theory regarding growth laws in phase transition kinetics, providing a practical formula validated by simulations.

Contribution

It presents a new method that relaxes the growth law constraints of KJMA theory using correlation functions and an accessible formula.

Findings

The new formula matches various growth types.

Computer simulations support the theoretical approach.

The method extends KJMA applicability.

Abstract

The theory of Kolmogorov-Johnson-Mehl-Avrami (KJMA) for phase transition kinetics is subjected to severe limitations concerning the functional form of the growth law. This paper is devoted to side step this drawback through the use of correlation function approach. Moreover, we put forward an easy-to-handle formula, written in terms of the experimentally accessible actual extended volume fraction, which is found to match several types of growths. Computer simulations have been done for corroborating the theoretical approach.