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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1997 Volume 111, Number 3, Pages 473–482 (Mi tmf1023)

This article is cited in 2 papers

Integral equations for radial distribution functions of multicomponent mixtures on the basis of phase space scaling transformation

L. A. Bulavina, V. M. Sysoeva, I. A. Fakhretdinovb

a National Taras Shevchenko University of Kyiv
b Bashkir State University

Abstract: Scaling transformation of the phase space of a mixture component is shown to correspond to a density virtual variation of the component of a thermodynamic system. The obtained results are used to develop a technique of constructing different kinds of the generating functional to produce systems of integral equations for mixtures radial distribution functions. Empirical Tayt's equation is as well as a system of integral equations for radial distribution functions are obtained. The well-known Percus–Yevic equation and systems of equations of hypernetted chains follow from the latter equations.

Received: 16.12.1996

DOI: 10.4213/tmf1023


 English version:
Theoretical and Mathematical Physics, 1997, 111:3, 771–778

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© Steklov Math. Inst. of RAS, 2026