Nucleation and growth dynamics of ellipsoidal crystals in metastable liquids
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Nucleation and growth dynamics of ellipsoidal crystals in metastable liquids
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| Автор |
Nikishina, M. A.
Alexandrov, D. V. |
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| Тематика |
DESUPERCOOLING/DESUPERSATURATION
DISTRIBUTION FUNCTION EVOLUTION OF PARTICULATE ASSEMBLAGE METASTABLE LIQUID NUCLEATION PHASE TRANSFORMATION CRYSTALLIZATION DISTRIBUTION FUNCTIONS NONLINEAR EQUATIONS NUCLEATION BULK PHASE TRANSITION DIFFERENTIAL MODELS ELLIPSOIDAL PARTICLES METASTABLE SOLUTIONS NONLINEAR TRANSPORT NUCLEATION AND GROWTH TRANSIENT NUCLEATION TRANSPORT PHENOMENA ARTICLE CRYSTAL DIFFUSIVITY GROWTH RATE PHASE TRANSITION VOLUME OF DISTRIBUTION FOKKER PLANCK EQUATION |
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| Описание |
When describing the growth of crystal ensembles from metastable solutions or melts, a significant deviation from a spherical shape is often observed. Experimental data show that the shape of growing crystals can often be considered ellipsoidal. The new theoretical models describing the transient nucleation of ellipsoidal particles and their growth with and without fluctuating rates at the intermediate stage of bulk phase transitions in metastable systems are considered. The nonlinear transport (diffusivity) of ellipsoidal crystals in the space of their volumes is taken into account in the Fokker-Planck equation allowing for fluctuating growth rates. The complete analytical solutions of integro-differential models of kinetic and balance equations are found and analysed. Our solutions show that the desupercooling dynamics is several times faster for ellipsoidal crystals as compared to spherical particles. In addition, the crystal-volume distribution function is lower and shifted to larger particle volumes when considering the growth of ellipsoidal crystals. What is more, this function is monotonically increasing to the maximum crystal size in the absence of fluctuations and is a bell-shaped curve when such fluctuations are taken into account. This article is part of the theme issue 'Transport phenomena in complex systems (part 1)'. © 2021 The Author(s).
Russian Science Foundation, RSF, (18-19-00008) Data accessibility. This article has no additional data. Authors’ contributions. All authors contributed equally to the present research article. Competing interests. We declare we have no competing interests. Funding. This work was supported by the Russian Science Foundation (grant no. 18-19-00008). |
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| Дата |
2024-04-08T11:06:59Z
2024-04-08T11:06:59Z 2022 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Nikishina, MA & Alexandrov, DV 2021, 'Nucleation and growth dynamics of ellipsoidal crystals in metastable liquids', Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Том. 379, № 2205, 20200306. https://doi.org/10.1098/rsta.2020.0306
Nikishina, M. A., & Alexandrov, D. V. (2021). Nucleation and growth dynamics of ellipsoidal crystals in metastable liquids. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 379(2205), [20200306]. https://doi.org/10.1098/rsta.2020.0306 1364-503X Final All Open Access; Bronze Open Access https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2020.0306 https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2020.0306 http://elar.urfu.ru/handle/10995/131382 47006818 10.1098/rsta.2020.0306 85111864006 000675372800006 |
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| Язык |
en
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| Связанные ресурсы |
info:eu-repo/grantAgreement/RSF//18-19-00008
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
Royal Society Publishing
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| Источник |
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
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