On the Kirkwood superposition approximation

<p>"When the Kirkwood superposition approximation for the triplet distribution function is used in the Born-Green equation for the pair distribution function of a liquid, the fourth virial coefficient is given incorrectly. In view of this, two suggestions for improving the approximation have been investigated. A suggestion, due to G.H.A. Cole, that better results could be obtained by using a second-order integro-differential equation of the Born-Green type with the superposition approximation used for both the triplet and quadruplet distribution functions has been investigated, and results for a hard-sphere model show that this method gives considerably less reliable results than those obtained by simply using the superposition approximation in the first- order Born-Green equation. A second approach, due to Ryuzo Abe, based on an expansion of the potential of the mean force in a series involving powers of the density, was found to give exact results when used in the Born-Green equation"--Abstract, page ii.</p>

Name thesis:degree_name

Ph. D. in Physics

Grantor

University of Missouri at Rolla

Year dc:date.available

2016

Author dc:creator

• Cochran, Russell V., Jr.

• Physics

Repository record dc:identifier

https://scholarsmine.mst.edu/doctoral_dissertations/467

OAI identifier oai:identifier

oai:scholarsmine.mst.edu:doctoral_dissertations-1469