Prog. Theor. Phys. Vol. 46 No. 6 (1971) pp. 1690-1702

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Role of Three-Body Potentials in Disordered Alloys. I

— Binary Alloys —

G. Bruce Taggart and Raza A. Tahir-Kheli

Department of Physics, Temple University, Philadelphia, Pennsylvania 19122

(Received June 28, 1971)

Abstract:

Noting the need for taking into account the effects of irreducible many-body potentials in condensed systems, a formulation of the statistical mechanics of disordered binary alloys with arbitrary composition and arbitrary range of static two- and three-body potentials is given. High temperature series expansions for the pair-wise and the triplet correlations are derived. It is noted that in the linear, mean-field like, approximation, all the effects of the irreducible three- and higher-body potentials on the two-site correlation (i. e., the short range order parameter) can be represented in terms of an effective, composition dependent, pair-wise potential. The inclusion of the second and higher order terms in the (kT)^-1 expansion, however, changes this situation. For the triplet correlations, on the other hand, the presence of the three-body potentials is found to make a contribution in the leading order in (kT)^-1, such that it cannot altogether be represented by an effective pair-wise potential. Consequently, it is noted that experimental measurement of the triplet correlations would, under certain conditions, provide direct information about the three-body potentials.

URL : http://ptp.ipap.jp/link?PTP/46/1690/
DOI : 10.1143/PTP.46.1690

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Citing Article(s) :

Progress of Theoretical Physics Vol. 47 No. 2 (1972) pp. 370-377 :
Role of Three-Body Potentials in Disordered Alloys. II

G. Bruce Taggart and Raza A. Tahir-Kheli
Progress of Theoretical Physics Vol. 48 No. 4 (1972) pp. 1150-1153 :
Role of Three-Body Potentials in Disordered Alloys. III

G. Bruce Taggart