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

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

2012-01-20

arxiv.org/abs/1201.4246v1

Physics

Condensed Matter

Materials Science

18 pages ;11 figures

Scientific paper

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.

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