The influence of non-stationarity and interphase curvature on the growth dynamics of spherical crystals in a metastable liquid
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
The influence of non-stationarity and interphase curvature on the growth dynamics of spherical crystals in a metastable liquid
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| Автор |
Makoveeva, E. V.
Alexandrov, D. V. |
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| Тематика |
DESUPERCOOLING/DESUPERSATURATION
DISTRIBUTION FUNCTION EVOLUTION OF PARTICULATE ASSEMBLAGE METASTABLE LIQUID NUCLEATION PHASE TRANSFORMATION CRYSTALS DISTRIBUTION FUNCTIONS DYNAMICS FOKKER PLANCK EQUATION GROWTH KINETICS INTEGRAL EQUATIONS PARTICLE SIZE PARTICLE SIZE ANALYSIS PHASE TRANSITIONS THERMOELECTRICITY EINSTEIN RELATIONS NON-STATIONARITIES NUCLEATION AND EVOLUTIONS PHASE TRANSFORMATION PROCESS RELAXATION DYNAMICS SOLUTE CONCENTRATIONS TRANSPORT PHENOMENA UNSTEADY TEMPERATURES ARTICLE DIFFUSION FRUIT RIPENING GROWTH RATE INTERPHASE LEISURE PARTICLE SIZE PHASE TRANSITION SOLUTE GROWTH RATE |
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| Описание |
This manuscript is concerned with the theory of nucleation and evolution of a polydisperse ensemble of crystals in metastable liquids during the intermediate stage of a phase transformation process. A generalized growth rate of individual crystals is obtained with allowance for the effects of their non-stationary evolution in unsteady temperature (solute concentration) field and the phase transition temperature shift appearing due to the particle curvature (the Gibbs-Thomson effect) and atomic kinetics. A complete system of balance and kinetic equations determining the transient behaviour of the metastability degree and the particle-radius distribution function is analytically solved in a parametric form. The coefficient of mutual Brownian diffusion in the Fokker-Planck equation is considered in a generalized form defined by an Einstein relation. It is shown that the effects under consideration substantially change the desupercooling/desupersaturation dynamics and the transient behaviour of the particle-size distribution function. The asymptotic state of the distribution function (its 'tail'), which determines the relaxation dynamics of the concluding (Ostwald ripening) stage of a phase transformation process, is derived. This article is part of the theme issue 'Transport phenomena in complex systems (part 1)'. © 2021 The Author(s).
Russian Foundation for Basic Research, РФФИ, (19-32-90003) Russian Science Foundation, RSF, (20-61-46013) Data accessibility. This article has no additional data. Authors’ contributions. All authors contributed equally to the present research article. Competing interests. The authors declare that they have no competing interests. Funding. This article contains two parts: (i) a new theory of the growth of an ensemble of spherical crystals in a metastable liquid and (ii) a computational simulation of crystal growth based on the developed theory. Part (i) was supported by the Russian Science Foundation (grant no. 20-61-46013), whereas part (ii) was made possible due to the financial support from the Russian Foundation for Basic Research (grant no. 19-32-90003). |
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| Дата |
2024-04-22T15:53:11Z
2024-04-22T15:53:11Z 2021 |
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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 |
Makoveeva, EV & Alexandrov, DV 2021, 'The influence of non-stationarity and interphase curvature on the growth dynamics of spherical crystals in a metastable liquid', Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Том. 379, № 2205, 20200307. https://doi.org/10.1098/rsta.2020.0307
Makoveeva, E. V., & Alexandrov, D. V. (2021). The influence of non-stationarity and interphase curvature on the growth dynamics of spherical crystals in a metastable liquid. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 379(2205), [20200307]. https://doi.org/10.1098/rsta.2020.0307 1364-503X Final All Open Access; Bronze Open Access https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2020.0307 https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2020.0307 http://elar.urfu.ru/handle/10995/132407 46973001 10.1098/rsta.2020.0307 85111899861 675372800013 |
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| Язык |
en
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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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