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 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2008
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/119573 |
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| 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| id |
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irk-123456789-1195732017-06-08T03:07:00Z On the kinetics of phase transformation of small particles in Kolmogorov's model Alekseechkin, N.V. 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. Класична теорiя Колмогорова-Джонсона-Мейла-Аврами узагальнюється на випадок обмеженої системи. У рамках геометрико-ймовiрнiсного пiдходу вирiшується задача обчислення об’ємної частки нової фази в сферичнiй областi. Одержано розв’язки для випадкiв гомогенної i гетерогенної нуклеацiї. Показано, що властивiсть обмеженостi системи приводить до якiсної вiдмiнностi часової залежностi об’ємної частки вiд такої в необмеженому просторi: показник Аврами в процесi гомогенної нуклеацiї зменшується з часом вiд 4 до 1. 2008 Article 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. 1607-324X PACS: 05.70.Fh, 68.55.Ac, 81.15.Aa DOI:10.5488/CMP.11.4.597 http://dspace.nbuv.gov.ua/handle/123456789/119573 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Alekseechkin, N.V. |
| spellingShingle |
Alekseechkin, N.V. On the kinetics of phase transformation of small particles in Kolmogorov's model Condensed Matter Physics |
| author_facet |
Alekseechkin, N.V. |
| author_sort |
Alekseechkin, N.V. |
| title |
On the kinetics of phase transformation of small particles in Kolmogorov's model |
| title_short |
On the kinetics of phase transformation of small particles in Kolmogorov's model |
| title_full |
On the kinetics of phase transformation of small particles in Kolmogorov's model |
| title_fullStr |
On the kinetics of phase transformation of small particles in Kolmogorov's model |
| title_full_unstemmed |
On the kinetics of phase transformation of small particles in Kolmogorov's model |
| title_sort |
on the kinetics of phase transformation of small particles in kolmogorov's model |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/119573 |
| citation_txt |
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. |
| series |
Condensed Matter Physics |
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2023-10-18T20:34:53Z |
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2023-10-18T20:34:53Z |
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1796150574766358528 |