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

B.V. Bondarev

Physica A: Statistical Mechanics and its Applications, 1989, vol. 155, issue 1, 123-166

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.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:155:y:1989:i:1:p:123-166

DOI: 10.1016/0378-4371(89)90056-3

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