# Generalized kinetics of overall phase transition useful for crystallization when assuming heat inertia

Source: [Generalized kinetics of overall phase transition useful for crystallization when assuming heat inertia](<https://www.sota2.com/research/paper/68fa39731e209131ce8c2c6c>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T23:32:10.167Z

Authors: Isak Avramov, Jaroslav \\v{S}est\\'ak

Published: 2019-03-13T06:40:28.000Z

## Abstract

Modeling of process for reaction kinetics is a fashionable subject of publications. The meaning of both the mortality and fertility terms are mathematically analyzed in details involving variation of their power exponents. We developed an analogue of the KJMA equation under non-isothermal conditions that describes the dependence of degree of transformation {\\alpha}(T) at a constant rate ,q, of heating with characteristic temperature {\\theta}(q) and power N. This equation is valid even when the activation energy of the process is not constant. We demonstrate that reliable information about the activation energy is obtained when the experimental data are plotted in the following coordinates: log q (heating rate) against log Tp (Peak Temperature).

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1904.00743>)

[PDF](<https://arxiv.org/pdf/1904.00743.pdf>)
