Extension of the Uhlenbeck-Ford Model with an Attraction
Statistical Mechanics
2023-02-01 v1
Abstract
The Uhlenbeck-Ford model for soft repulsion, which has only a repulsive interaction, is extended by inclusion of an attraction. This extension still allows an analytical evaluation of the virial coefficients. The integrals over the graph contributions are reduced to a combinatorial problem. We have calculated the virial coefficients to order 6 in the density. A link is made between this model and more common interactions, like the 12-6 Lennard-Jones potential.
Keywords
Cite
@article{arxiv.2207.10399,
title = {Extension of the Uhlenbeck-Ford Model with an Attraction},
author = {J. M. J. van Leeuwen},
journal= {arXiv preprint arXiv:2207.10399},
year = {2023}
}