Why Does the Complete Iterative Inversion Method Work So Well?

Author

David E. Grow, Missouri University of Science and TechnologyFollow
Matt Insall, Missouri University of Science and TechnologyFollow

Editor(s)

Sree Hari Rao

Abstract

Consider a dilute gas composed of identical, isotropic molecules in which the potential energy of interaction between pairs of particles is an analytic function of the distance of separation with either a monomial or a normal binomial Laurent expansion. It is shown that the complete iterative inversion method inverts second virial coefficient data in one step to obtain the pair potential. In particular, the CIIM inverts second virial coefficient data in one step for gases with a Lennard-Jones pair potential.

Recommended Citation

D. E. Grow and M. Insall, "Why Does the Complete Iterative Inversion Method Work So Well?," Differential Equations and Dynamical Systems, Springer Verlag, Jan 2013.

The definitive version is available at https://doi.org/10.1007/s12591-013-0165-7

Department(s)

Mathematics and Statistics

Keywords and Phrases

virial equation of state; second virial coefficient; integral equation; iterative inversion; Lennard-Jones potential

International Standard Serial Number (ISSN)

0971-3514

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2013 Springer Verlag, All rights reserved.

Publication Date

01 Jan 2013