"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.
Lund, Louis H., 1919-1998
Ph. D. in Physics
University of Missouri at Rolla
vi, 64 pages
Note about bibliography
Includes bibliographical references (pages 56-57).
© 1964 Russell V. Cochran, Jr., All rights reserved.
Dissertation - Open Access
Print OCLC #
Link to Catalog Record
Cochran, Russell V. Jr., "On the Kirkwood superposition approximation" (1964). Doctoral Dissertations. 467.