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Kinetic theory of nucleation in multicomponent systems: An application of the thermodynamic extremum principle
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering. KTH Royal Inst Technol, Dept Mat Sci & Engn, Stockholm, Sweden.. (Enheten strukturer)
CNRS, Ecole Polytech, Phys Matiere Condensee, F-91120 Palaiseau, France..
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering.ORCID iD: 0000-0002-4521-6089
2019 (English)In: Acta Materialia, ISSN 1359-6454, E-ISSN 1873-2453, Vol. 171, p. 1-7Article in journal (Refereed) Published
Abstract [en]

Nucleation kinetics in a multicomponent supersaturated solid solution is examined. Attachment rate of atoms to a nucleus of a size close to the critical one is determined combining a thermodynamic extremum principle and the Fokker-Planck equation. Two limiting cases are examined; when bulk diffusion controls the nucleation kinetics and when the process is limited by the interfacial mobility. The mixed regime is also treated. Moreover, the growth law in multicomponent alloys is derived in the general case, when both mechanisms are considered. Additionally, the attachment rate is derived, in the classical framework, from a new macroscopic growth equations and the fundamental role of the interfacial mobility is examined. These new general expressions, for the attachment rates and the growth laws, determined either applying the thermodynamic extremum principle or derived from the classical formalism are found to be consistent.

Place, publisher, year, edition, pages
Acta Materialia Inc , 2019. Vol. 171, p. 1-7
Keywords [en]
Nucleation, Thermodynamics, Kinetics, Extremum principle, Multicomponent
National Category
Metallurgy and Metallic Materials
Identifiers
URN: urn:nbn:se:kth:diva-254087DOI: 10.1016/j.actamat.2019.03.031ISI: 000470046400001Scopus ID: 2-s2.0-85063969944OAI: oai:DiVA.org:kth-254087DiVA, id: diva2:1329225
Note

QC 20190624

Available from: 2019-06-24 Created: 2019-06-24 Last updated: 2019-06-24Bibliographically approved

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Ågren, John

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