Extension of the Uhlenbeck-Ford Model with an Attraction
arXiv:2207.10399 · doi:10.1016/j.physa.2023.128475
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.
References in corpus (5)
- Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions
- Analytic calculation of B4 for hard spheres in even dimensions
- New results for virial coefficients of hard spheres in D dimensions
- Negative virial coefficients and the dominance of loose packed diagrams for D-dimensional hard spheres
- Density scaling of generalized Lennard-Jones fluids in different dimensions