On accuracy of different cluster models used in describing ordering phase transitions in fcc alloys

V. G. Vaks; G. D. Samolyuk

doi:10.1134/1.558769

On accuracy of different cluster models used in describing ordering phase transitions in fcc alloys

V. G. Vaks, G. D. Samolyuk

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30 Scopus citations

Abstract

A general formulation of cluster methods applied to calculations of thermodynamic quantities of alloys in terms of renormalizing fields describing interaction between a cluster and its environment is given. We have shown that the well-known cluster variation method and the cluster field method, which was suggested earlier, are special cases of our approach. These methods have been used in calculations of phase diagrams of fcc alloys with L 1₂ and L 1₀ ordering transitions with several realistic interaction models. It turns out that, for all these models, the simple tetrahedron version of the cluster field method suggested in this paper describes the phase diagrams almost as accurately as more complicated cluster variation techniques. Possible applications of the tetrahedron version of the cluster field method to inhomogeneous states and kinetics of phase transitions in fcc alloys are discussed.

Original language	English
Pages (from-to)	89-100
Number of pages	12
Journal	Journal of Experimental and Theoretical Physics
Volume	88
Issue number	1
DOIs	https://doi.org/10.1134/1.558769
State	Published - 1999
Externally published	Yes

Funding

We are grateful to Dr. G. Martin for his interest in this work and hospitality shown to one of the authors (G. D. S.) at Center d’Etude de Saclay, where this investigation began, and to V. V. Kamyshenko for help and useful discussions. This work was supported by the Russian Fund for Fundamental Research (Grant No. 97-02-17842).

Funders	Funder number
Russian Foundation for Basic Research	97-02-17842

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On accuracy of different cluster models used in describing ordering phase transitions in fcc alloys

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