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On Negative Diagonal Elements in the Diffusion Coefficient Matrix of Multicomponent Systems
Thermocalc Software AB, Rasundavagen 18, S-16967 Solna, Sweden..
Thermocalc Software AB, Rasundavagen 18, S-16967 Solna, Sweden..
KTH, School of Industrial Engineering and Management (ITM), Materials Science and Engineering.ORCID iD: 0000-0002-4521-6089
2018 (English)In: JOURNAL OF PHASE EQUILIBRIA AND DIFFUSION, ISSN 1547-7037, Vol. 39, no 5, p. 592-596Article in journal (Refereed) Published
Abstract [en]

In multicomponent systems the diffusion coefficient turns into a matrix. The diagonal elements represent diffusion of a species caused by its own concentration gradient. In a thermodynamically stable binary alloy it is easy to see that this diagonal element must be positive but in a multicomponent system it is less obvious. The sign of the diagonal elements in the general case is discussed in this report. It is shown that the sign of an individual diagonal element has no physical meaning but can be changed by changing the dependent concentration variable. Only the sum of all the diagonal elements need to be positive in a stable system.

Place, publisher, year, edition, pages
Springer, 2018. Vol. 39, no 5, p. 592-596
Keywords [en]
Fick-Onsager law, thermodynamics, Onsager relations, mobility
National Category
Environmental Sciences
Identifiers
URN: urn:nbn:se:kth:diva-236004DOI: 10.1007/s11669-018-0648-xISI: 000444765000013Scopus ID: 2-s2.0-85049072734OAI: oai:DiVA.org:kth-236004DiVA, id: diva2:1256098
Note

QC 20181016

Available from: 2018-10-16 Created: 2018-10-16 Last updated: 2018-12-03Bibliographically approved

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Ågren, John

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