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...
Збережено в:
| Дата: | 2008 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2008
|
| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/119573 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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. |
|---|