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Sum-rule relationships among phenomenological coefficients: Simplifications for the analysis of segregation and chemical diffusion

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Abstract

In this review article, the authors first introduce the phenomenological transport coefficients, and the relationships between them and the tracer diffusion coefficients. Next, the authors discuss a sum rule relating phenomenological coefficients themselves in the random-alloy model. The authors then consider several applications of the sum rule to diffusion problems. These applications include intrinsic diffusion in multicomponent alloys, chemical diffusion in strongly ionic mixed cation crystals, and the segregation (demixing) of cations in mixed oxides in an oxygen potential gradient and/or an electric field. In each case, a substantial simplification is possible as a result of the sum rule.

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Authors and Affiliations

  1. Diffusion in Solids Group, School of Engineering, The University of Newcastle, 2308, Callaghan, New South Wales, Australia

    I. V. Belova & G. E. Murch

Authors
  1. I. V. Belova
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  2. G. E. Murch
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Additional information

This article is a revised version of the paper printed in the Proceedings of the First International Conference on Diffusion in Solids and Liquids—DSL-2005, Aveiro, Portugal, July 6–8, 2005, Andreas Öchsner, José Grácio and Frédéric Barlat, eds., University of Aveiro, 2005.

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Belova, I.V., Murch, G.E. Sum-rule relationships among phenomenological coefficients: Simplifications for the analysis of segregation and chemical diffusion. J Phs Eqil and Diff 26, 503–509 (2005). https://doi.org/10.1007/s11669-005-0042-3

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  • DOI: https://doi.org/10.1007/s11669-005-0042-3

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