Convenient formulae for some integrals in perturbation theory

• Published in: Condensed Matter Physics
• Date: 2010
• Main Author: Henderson, D.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/32040
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Convenient formulae for some integrals in perturbation theory / D. Henderson // Condensed Matter Physics. — 2010. — Т. 13, № 1. — С. 13002: 1-10. — Бібліогр.: 16 назв. — англ.

The free energy and pressure of a fluid, as given by perturbation theory, involve integrals of the hard sphere correlation functions and their density derivatives. In most applications a straightforward procedure would be to obtain these integrals, possibly numerically, using the formulae and comput...