Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/92668
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dc.contributor.authorAlexandrova, I. V.en
dc.contributor.authorAlexandrov, D. V.en
dc.date.accessioned2020-10-20T16:36:44Z-
dc.date.available2020-10-20T16:36:44Z-
dc.date.issued2020-
dc.identifier.citationAlexandrova I. V. Dynamics of particulate assemblages in metastable liquids: A test of theory with nucleation and growth kinetics / I. V. Alexandrova, D. V. Alexandrov. — DOI 10.1098/rsta.2019.0245 // Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. — 2020. — Vol. 2171. — Iss. 378. — 245.en
dc.identifier.issn1364503X-
dc.identifier.otherhttps://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2019.0245pdf
dc.identifier.other1good_DOI
dc.identifier.other60071984-4a5a-466d-8ddc-03095b1b3200pure_uuid
dc.identifier.otherhttp://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85083265634m
dc.identifier.urihttp://hdl.handle.net/10995/92668-
dc.description.abstractThis manuscript is devoted to the nonlinear dynamics of particulate assemblages in metastable liquids, caused by various dynamical laws of crystal growth and nucleation kinetics. First of all, we compare the quasi-steady-state and unsteady-state growth rates of spherical crystals in supercooled and supersaturated liquids. It is demonstrated that the unsteady-state rates transform to the steady-state ones in a limiting case of fine particles. We show that the real crystals evolve slowly in a more actual case of unsteady-state growth laws. Various growth rates of particles are tested against experimental data in metastable liquids. It is demonstrated that the unsteady-state rates describe the nonlinear behaviour of experimental curves with increasing the growth time or supersaturation. Taking this into account, the crystal-size distribution function and metastability degree are analytically found and compared with experimental data on crystallization in inorganic and organic solutions. It is significant that the distribution function is shifted to smaller sizes of particles if we are dealing with the unsteady-state growth rates. In addition, a complete analytical solution constructed in a parametric form is simplified in the case of small fluctuations in particle growth rates. In this case, a desupercooling/desupersaturation law is derived in an explicit form. Special attention is devoted to the biomedical applications for insulin and protein crystallization. © 2020 The Author(s) Published by the Royal Society. All rights reserved.en
dc.description.sponsorshipRussian Science Foundation, RSF: 18-19-00008en
dc.description.sponsorshipData accessibility. This article has no additional data. Authors’ contributions. All authors contributed equally to the present review 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).en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherRoyal Society Publishingen
dc.relationinfo:eu-repo/grantAgreement/RSF//18-19-00008en
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourcePhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciencesen
dc.subjectDESUPERCOOLING/DESUPERSATURATIONen
dc.subjectDISTRIBUTION FUNCTIONen
dc.subjectEVOLUTION OF PARTICULATE ASSEMBLAGEen
dc.subjectMETASTABLE LIQUIDen
dc.subjectNUCLEATIONen
dc.subjectPHASE TRANSFORMATIONen
dc.subjectCRYSTALLIZATIONen
dc.subjectDISTRIBUTION FUNCTIONSen
dc.subjectLIQUIDSen
dc.subjectMEDICAL APPLICATIONSen
dc.subjectNUCLEATIONen
dc.subjectBIOMEDICAL APPLICATIONSen
dc.subjectCRYSTAL SIZE DISTRIBUTIONSen
dc.subjectNONLINEAR BEHAVIOURSen
dc.subjectNUCLEATION AND GROWTH KINETICSen
dc.subjectNUCLEATION KINETICSen
dc.subjectPARTICLE GROWTH RATESen
dc.subjectPROTEIN CRYSTALLIZATIONen
dc.subjectSUPERSATURATED LIQUIDSen
dc.subjectGROWTH KINETICSen
dc.titleDynamics of particulate assemblages in metastable liquids: A test of theory with nucleation and growth kineticsen
dc.typeReviewen
dc.typeinfo:eu-repo/semantics/reviewen
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.1098/rsta.2019.0245-
dc.identifier.scopus85083265634-
local.affiliationDepartment of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, 620000, Russian Federation
local.contributor.employeeAlexandrova, I.V., Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, 620000, Russian Federation
local.contributor.employeeAlexandrov, D.V., Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, 620000, Russian Federation
local.issue378-
local.volume2171-
dc.identifier.wos000526681700015-
local.identifier.pure12665022-
local.description.order245-
local.identifier.eid2-s2.0-85083265634-
local.fund.rsf18-19-00008-
local.identifier.wosWOS:000526681700015-
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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