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Article

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

by
Jordan Hristov
Department of Chemical Engineering, University of Chemical Technology and Metallurgy, 8 Kliment Ohridsky, Blvd., 1756 Sofia, Bulgaria
Eng 2025, 6(2), 24; https://doi.org/10.3390/eng6020024
Submission received: 19 December 2024 / Revised: 8 January 2025 / Accepted: 21 January 2025 / Published: 22 January 2025
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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 JMAK kinetics; crystallization; Caputo derivative; Mittag-Leffler function

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MDPI and ACS Style

Hristov, J. A Note on the Johnson–Mehl–Avrami–Kolmogorov Kinetic Model: An Attempt Aiming to Introduce Time Non-Locality. Eng 2025, 6, 24. https://doi.org/10.3390/eng6020024

AMA Style

Hristov J. A Note on the Johnson–Mehl–Avrami–Kolmogorov Kinetic Model: An Attempt Aiming to Introduce Time Non-Locality. Eng. 2025; 6(2):24. https://doi.org/10.3390/eng6020024

Chicago/Turabian Style

Hristov, Jordan. 2025. "A Note on the Johnson–Mehl–Avrami–Kolmogorov Kinetic Model: An Attempt Aiming to Introduce Time Non-Locality" Eng 6, no. 2: 24. https://doi.org/10.3390/eng6020024

APA Style

Hristov, J. (2025). A Note on the Johnson–Mehl–Avrami–Kolmogorov Kinetic Model: An Attempt Aiming to Introduce Time Non-Locality. Eng, 6(2), 24. https://doi.org/10.3390/eng6020024

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