On the kinetics of phase transformation of small particles in Kolmogorov's model
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...
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| Date: | 2008 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут фізики конденсованих систем НАН України
2008
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| Series: | Condensed Matter Physics |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/119573 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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 homogeneous and heterogeneous nucleations. It is shown that the finiteness property
results in a qualitative distinction of the volume-fraction time dependence from that in infinite
space: the Avrami exponent in the process of homogeneous nucleation decreases with time from
4 to 1, i.e. a slowing down of the transformation process takes place. The obtained results can be
used, in particular, for controlling the crystallization kinetics in amorphous powders. |
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