On the kinetics of phase transformation of small particles in Kolmogorov's model

• Published in: Condensed Matter Physics
• Date: 2008
• Main Author: Alekseechkin, N.V.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/119573
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the kinetics of phase transformation of small particles in Kolmogorov's model / N.V. Alekseechkin // Condensed Matter Physics. — 2008. — Т. 11, № 4(56). — С. 597-613. — Бібліогр.: 20 назв. — англ.

The classical Kolmogorov-Johnson-Mehl-Avrami (KJMA) theory is generalized to the case of a finite-size system. The problem of calculating the new-phase volume fraction in a spherical domain is solved within the framework of geometrical-probabilistic approach. The solutions are obtained for both h...