Exact Solution of the First-Order Perturbed Percus-Yevick Equation for Arbitrary Pair Potentials (Classic Reprint) - Hardcover

Percus, Jerome K.

Hardcover

ISBN 10: 0484613189 ISBN 13: 9780484613187

Publisher: Forgotten Books, 2018

Synopsis

Excerpt from Exact Solution of the First-Order Perturbed Percus-Yevick Equation for Arbitrary Pair Potentials

The Ferous - Yevick approximate integral equation for the pair correlation function in classical statistical mechanics has been solved exactly for hard cores The direct correlation function is given in its non - vanishing domain by a low order polynomial, of degree one or three, for the case of one or three dimensional hard cores. Exact solutions of the p.y. Equation for potentials of arbitrary range have never been obtained, however. The object of this work is to examine the effect upon the correlation functions of adding a long-range interaction to the repulsive core. Although treated exhaustively in one - dimension, our technique is by no means limited to this, indeed being applicable to both three - dimensional non-polar and polar liquids.

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Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0484613189
• ISBN 13: 9780484613187
• Binding: Hardcover
• Number of pages: 88