Role of Three-Body Potentials in Disordered Alloys. II

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Abstract
The formulation of the statistical mechanics of disordered ternary alloys with arbitrary composition and arbitrary range of two- and three-body potentials is given. The high temperature expansion is worked out explicitly for the two- and three-site static correlation functions up to the term linear in (kT)-1. As in the corresponding case for binaries, within the linear approximation, the presence of irreducible three-body potentials causes the two-site correlation function results to depend upon an effective, composition-dependent, pair-wise interaction. However, the dependence of the three-site correlation function upon the three-body potentials cannot be represented, even within the linear approximation, by an appropriately renormalized, composition-dependent, pair-wise potential, but is rather an explicit function of the three-body potentials. Consequently, an experimental measurement of the triplet correlation would, under suitable conditions, provide direct information about the three-body potentials.

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