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

Source: [Beyond the constraints underlying Kolmogorov-Johnson-Mehl-Avrami theory related to the growth laws](<https://www.sota2.com/research/paper/68fa30261e209131ce872c68>)

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

Data updated: 2025-10-24T18:01:38.859Z

Authors: M. Tomellini, M. Fanfoni

Published: 2012-01-20T10:05:22.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1201.4246>)

[PDF](<https://arxiv.org/pdf/1201.4246.pdf>)