A Note on the Johnson–Mehl–Avrami–Kolmogorov Kinetic Model: An Attempt Aiming to Introduce Time Non-Locality

Abstract

This note aims for a non-local extension of the Johnson–Mehl–Avrami–Kolmogorov (JMAK) kinetic equation, describing solid phase transformation through the implementation of the time-fractional Caputo derivative and Mittag-Leffler function instead of the exponential Avrami kinetics. These are preliminary results that include tests on some published data and a clarification of the concept.

Keywords

• JMAK kinetics
• crystallization
• Caputo derivative
• Mittag-Leffler function