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Kinetics of Order-Disorder

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Order-Disorder Transformations in Alloys

Part of the book series: Reine und angewandte Metallkunde in Einzeldarstellungen ((METALLKUNDE,volume 24))

Abstract

Various theoretical models of order-disorder kinetics are presented from a unified point of view. The time evolution of both single-site and pair-site probabilities are derived from a single master equation for the time dependence of configuration probabilities in binary solid solutions. Linearized diffusion equations are solved in the Fourier representation and theoretical predictions are compared to experimental results of disordering kinetics in binary and ternary solid solutions. A nonlinear equation for long-range order kinetics is also derived from the master equation, and compared to the classical theories of Dienes and of Vineyard, and to available experimental data. The phenomenon of critical slowing down and the kinetics of short-range order are briefly covered.

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Author information

Authors and Affiliations

  1. Materials Department, University of California, Los Angeles, California, 90024, USA

    H. Yamauchi & D. de Fontaine

Authors
  1. H. Yamauchi
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  2. D. de Fontaine
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Editor information

Editors and Affiliations

  1. Max-Planck-Institut für Metallforschung, Stuttgart, Germany

    Hans Warlimont (Wissenschaftlicher Mitarbeiter, Professor) (Wissenschaftlicher Mitarbeiter, Professor)

  2. Institut für Metallkunde, Der Universität Stuttgart, Germany

    Hans Warlimont (Wissenschaftlicher Mitarbeiter, Professor) (Wissenschaftlicher Mitarbeiter, Professor)

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© 1974 Springer-Verlag Berlin Heidelberg

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Yamauchi, H., de Fontaine, D. (1974). Kinetics of Order-Disorder. In: Warlimont, H. (eds) Order-Disorder Transformations in Alloys. Reine und angewandte Metallkunde in Einzeldarstellungen, vol 24. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80840-1_7

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  • DOI: https://doi.org/10.1007/978-3-642-80840-1_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-80842-5

  • Online ISBN: 978-3-642-80840-1

  • eBook Packages: Springer Book Archive

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