On accuracy of different cluster models used in describing ordering phase transitions in fcc alloys |
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Authors: | V G Vaks G D Samolyuk |
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Institution: | (1) Kurchatov Institute, 123182 Moscow, Russia |
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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 L12 and L10 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.
Zh. éksp. Teor. Fiz. 115, 158–179 (January 1999) |
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