Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/92666
Title: From nucleation and coarsening to coalescence in metastable liquids
Authors: Alexandrov, D. V.
Alexandrova, I. V.
Issue Date: 2020
Publisher: Royal Society Publishing
Citation: Alexandrov D. V. From nucleation and coarsening to coalescence in metastable liquids / D. V. Alexandrov, I. V. Alexandrova. — DOI 10.1098/rsta.2019.0247 // Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. — 2020. — Vol. 2171. — Iss. 378. — 247.
Abstract: The transition of a metastable liquid (supersaturated solution or supercooled melt) occurring from the intermediate stage (where the crystals nucleate and grow) to the concluding stage (where the larger particles evolve at the expense of the dissolution of smaller particles) is theoretically described, with allowance for various mass transfer mechanisms (reaction on the interface surface, volume diffusion, grain-boundary diffusion, diffusion along the dislocations) arising at the stage of Ostwald ripening (coalescence). The initial distribution function (its 'tail') for the concluding stage (forming as a result of the evolution of a particulate assemblage during the intermediate stage) is taken into account to determine the particle-size distribution function at the stage of Ostwald ripening. This modified distribution function essentially differs from the universal Lifshitz-Slyozov (LS) solutions for several mass transfer mechanisms. Namely, its maximum lies below and is shifted to the left in comparison with the LS asymptotic distribution function. In addition, the right branch of the particle-size distribution lies above and is shifted to the right of the LS blocking point. It is shown that the initial 'tail' of the particle-size distribution function completely determines its behaviour at the concluding stage of Ostwald ripening. The present theory agrees well with experimental data. © 2020 The Author(s) Published by the Royal Society. All rights reserved.
Keywords: CRYSTAL GROWTH
NUCLEATION
OSTWALD RIPENING
PARTICLE-SIZE DISTRIBUTION FUNCTION
PHASE TRANSFORMATIONS
COALESCENCE
COARSENING
CRYSTALLIZATION
DIFFUSION
GRAIN BOUNDARIES
LIGHT TRANSMISSION
OSTWALD RIPENING
PARTICLE SIZE
PARTICLE SIZE ANALYSIS
REACTION INTERMEDIATES
SIZE DISTRIBUTION
SURFACE REACTIONS
ASYMPTOTIC DISTRIBUTIONS
GRAIN-BOUNDARY DIFFUSION
INTERFACE SURFACES
INTERMEDIATE STAGE
MASS TRANSFER MECHANISM
METASTABLE LIQUID
SUPERCOOLED MELT
SUPERSATURATED SOLUTIONS
DISTRIBUTION FUNCTIONS
URI: http://hdl.handle.net/10995/92666
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85083308943
WOS ID: 000526681700013
PURE ID: 12664984
ISSN: 1364503X
DOI: 10.1098/rsta.2019.0247
metadata.dc.description.sponsorship: 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. The authors declare that they have no competing interests. Funding. This work was supported by the Russian Science Foundation (grant no. 18-19-00008).
RSCF project card: 18-19-00008
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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