Kinetics of phase change

By A. Faleiros, T. N. Rabelo, G. Thim, Maria A. S. Oliveira. 2000

1,532 citations recorded by the source corpus.

The kinetic model for change of phases developed by M. Avrami at the end of the thirties has been used to describe the temporal behavior of phase changes. Until today this model is studied and adapted to include broader hypotheses. However, the mathematical format presented by M. Avrami is difficult to be understood by beginners. The purpose of this work is to clarify the mathematical treatment of Avrami's work, going straightforward to the arguments that led to his main results.

Subfields: Materials Chemistry, Polymers and Plastics

View Paper: https://www.semanticscholar.org/paper/ea1faa7998f45385fc5d534123fabe80fe5704a9

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In Materials Chemistry

In Polymers and Plastics

Citations in the corpus

Chemical Solution Deposition of Functional Oxide Thin Films (2013, neutral): “Although some improvements of the Tc (R 1⁄4 0 Ω) values could be achieved by the use of other carboxylates and heat treatment procedures [74, 75], the overall electrical properties remained poor owing to the formation of BaCO3, which is very stable, as an intermediate compound during the decompositi”
An integrated fast Fourier transform-based phase-field and crystal plasticity approach to model recrystallization of three dimensional polycrystals (2015, background): “the volume fraction of recrystallized grains as a function of time, is often described by the Johnson–Mehl–Avrami–Kolmogorov (JMAK) model [3,4] based on the assumptions that the nucleation rate is constant or the number of nucleation sites is fixed, constant growth velocity, and spherical grain shap”
Phenomenological modelling of polymer crystallization using the notion of multiple natural configurations (2000, methodology): “The Avrami equation has been modified to include the effects of the deformation in the polymer melt chain by making the constants k and n functions of the extension in the melt.”