Editing Kirkwood superposition approximation

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The '''Kirkwood superposition approximation''' takes its name from [[John G. Kirkwood]]  (see Eq. 40 Ref. 1, Eq. 5.6 Ref. 2)
[[John G. Kirkwood]]  (Eq. 40 Ref. 1, Eq. 5.6 Ref. 2)




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It appears that this was used as a basis of a closure for the
It appears that this was used as a basis of a closure for the
Kirkwood [[integral equations |integral equation]] (Ref. 1) and the Yvon, and Born-Green
Kirkwood integral equation (Ref. 1) and the Yvon, and Born-Green
(Ref. 2) until the work of Morita and Hiroike (Ref. 3).
(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
It was pointed out in Ref.s 4 and 5, that there is an inconsistency between
the [[Pressure equation |pressure]] and the [[compressibility equation]] if this superposition approximation is used to generate <math>g(r)</math>.
the pressure and the compressibility equation if this superposition approximation is used to generate <math>g(r)</math>.
This approximation is rigorously correct for one-dimensional systems, and is only true in three-dimensions in the limit of zero density.  
This approximation is rigorously correct for one-dimensional systems, and is only true in three-dimensions in the limit of zero density.  
It has recently been shown that the Kirkwood superposition approximation precludes the existence of a critical point (Ref. 6).
It has recently been shown that the Kirkwood superposition approximation precludes the existence of a critical point (Ref. 6).
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