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Generalization of the Lifshitz-Slyozov-Wagner coarsening theory to non-dilute multi-component systems
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SYSNO ASEP 0435178 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Generalization of the Lifshitz-Slyozov-Wagner coarsening theory to non-dilute multi-component systems Author(s) Svoboda, Jiří (UFM-A) RID, ORCID
Fischer, F. D. (AT)Number of authors 2 Source Title Acta Materialia. - : Elsevier - ISSN 1359-6454
Roč. 79, OCT (2014), s. 304-314Number of pages 11 s. Language eng - English Country GB - United Kingdom Keywords Coarsening ; Ostwald ripening ; Multicomponent ; Theory and modelling ; Non-zero volume fraction of precipitates Subject RIV BJ - Thermodynamics R&D Projects GA14-24252S GA ČR - Czech Science Foundation (CSF) Institutional support UFM-A - RVO:68081723 UT WOS 000342718400030 EID SCOPUS 84905789995 DOI 10.1016/j.actamat.2014.05.042 Annotation The coarsening of precipitates in a matrix with a non-zero volume fraction is treated by assuming that the exchange of matter between the precipitates occurs by diffusion in the matrix within finite zones surrounding the precipitates. The thermodynamic extremal principle is used for the derivation of evolution equations for the precipitate radii. Accordingly, non-steady-state and steady-state distribution functions are deduced, depending on the system parameter characterizing the finite diffusion zones. The distribution functions tend exactly to the established Lifshitz-Slyozov-Wagner distribution for a zero volume fraction of the precipitates. The steady-state distribution functions are expressed by means of distinct volume-fraction-dependent parameters, which are presented by analytical expressions and in diagrams. To treat non-steady-state systems, ensembles of up to 10(6) precipitates can easily be handled by standard computational methods. Workplace Institute of Physics of Materials Contact Yvonna Šrámková, sramkova@ipm.cz, Tel.: 532 290 485 Year of Publishing 2015
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