# Difference between revisions of "Kirkwood superposition approximation"

Carl McBride (talk | contribs) m |
Carl McBride (talk | contribs) |
||

Line 1: | Line 1: | ||

− | Kirkwood 1935 (Eq. 40 Ref. 1, Eq. 5.6 Ref. 2) | + | [[John G. Kirkwood]] 1935 (Eq. 40 Ref. 1, Eq. 5.6 Ref. 2) |

Line 12: | Line 12: | ||

==References== | ==References== | ||

− | #[ | + | #[http://dx.doi.org/10.1063/1.1749657 John G. Kirkwood, "Statistical Mechanics of Fluid Mixtures", Journal of Chemical Physics '''3''' pp. 300-313 (1935)] |

− | #[ | + | #[http://links.jstor.org/sici?sici=0080-4630%2819461231%29188%3A1012%3C10%3AAGKTOL%3E2.0.CO%3B2-9 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)] |

#[http://dx.doi.org/10.1143/PTP.23.1003 Tohru Morita and Kazuo Hiroike "A New Approach to the Theory of Classical Fluids. I" Progress of Theoretical Physics '''23''' pp. 1003-1027 (1960)] | #[http://dx.doi.org/10.1143/PTP.23.1003 Tohru Morita and Kazuo Hiroike "A New Approach to the Theory of Classical Fluids. I" Progress of Theoretical Physics '''23''' pp. 1003-1027 (1960)] | ||

− | #[ | + | #[http://dx.doi.org/10.1103/PhysRev.85.777 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)] |

#[PRSA_1953_216_0203] | #[PRSA_1953_216_0203] |

## Revision as of 15:29, 27 February 2007

John G. Kirkwood 1935 (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) - [PRSA_1953_216_0203]