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Binary alloys. Statistical theory of non-equilibrium states. Kinetics of ordering

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  • Bondarev, B.V.

Abstract

A statistical theory of non-equilibrium states of a binary alloy is developed within the framework of the lattice gas model. The hierarchy of distribution functions, which describes an arbitrary state of an alloy, is defined by means of a statistical ensemble. A system of chain-like equations for distribution functions is obtained on the assumption that transitions of an alloy from one microstate to another represent a Marcovian process. Various methods of breaking the chain of equations and obtaining kinetic equations describing the processes of ordering, clustering and spinodal decomposition in binary alloys are considered. New methods of derivation of equations for equilibrium distribution functions are suggested. The theory is developed for two cases: there are no vacancies in the alloy, and they are present. It involves the statistical theories of equilibrium states of binary alloys developed by Gorsky, Bragg and Williams, Guggenheim and others.

Suggested Citation

  • Bondarev, B.V., 1989. "Binary alloys. Statistical theory of non-equilibrium states. Kinetics of ordering," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 155(1), pages 123-166.
    • Handle: RePEc:eee:phsmap:v:155:y:1989:i:1:p:123-166
    DOI: 10.1016/0378-4371(89)90056-3
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    1. G. Hoekveld‐Meijer, 1983. "HERBERT WILHELMY, Welt und Umwelt der Maya," Tijdschrift voor Economische en Sociale Geografie, Royal Dutch Geographical Society KNAG, vol. 74(5), pages 407-408, October.
    2. Gratias, D. & Sanchez, J.M. & De Fontaine, D., 1982. "Application of group theory to the calculation of the configurational entropy in the cluster variation method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 113(1), pages 315-337.
    3. Van Baal, C.M., 1985. "Kinetics of crystalline configurations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 129(3), pages 601-625.
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