Doctoral Dissertations

Abstract

"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.

Advisor(s)

Lund, Louis H., 1919-1998

Department(s)

Physics

Degree Name

Ph. D. in Physics

Publisher

University of Missouri at Rolla

Publication Date

1964

Pagination

vi, 64 pages

Note about bibliography

Includes bibliographical references (pages 56-57).

Rights

© 1964 Russell V. Cochran, Jr., All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Thesis Number

T 1629

Print OCLC #

5959646

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