# Kirkwood superposition approximation

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John G. Kirkwood (Eq. 40 Ref. 1, Eq. 5.6 Ref. 2)

It appears that this was used as a basis of a closure for the
Kirkwood integral equation (Ref. 1) and the Yvon, and Born-Green
(Ref. 2) until the work of Morita and Hiroike (Ref. 3).
It was pointed out in Ref.s 4 and 5, that there is an inconsistency between
the pressure and the compressibility equation if this superposition approximation is used to generate .

## References

- John G. Kirkwood, "Statistical Mechanics of Fluid Mixtures", Journal of Chemical Physics
**3**pp. 300-313 (1935) - M. Born and H. S. Green "A General Kinetic Theory of Liquids. I. The Molecular Distribution Functions" Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
**188**pp. 10-18 (1946) - Tohru Morita and Kazuo Hiroike "A New Approach to the Theory of Classical Fluids. I" Progress of Theoretical Physics
**23**pp. 1003-1027 (1960) - B. R. A. Nijboer and L. Van Hove "Radial Distribution Function of a Gas of Hard Spheres and the Superposition Approximation", Physical Review
**85**pp. 777 - 783 (1952) - G. S. Rushbrooke and H. I. Scoins "On the Theory of Fluids", Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences,
**216**pp. 203-218 (1953) - Ryuzo Abe "On the Kirkwood Superposition Approximation", Progress of Theoretical Physics
**21**pp. 421-430 (1959)