Extension of the Uhlenbeck–Ford model with an attraction

J.M.J. van Leeuwen

Physica A: Statistical Mechanics and its Applications, 2023, vol. 612, issue C

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 7 in the density. A link is made between this model and more common interactions, like the 12-6 Lennard-Jones potential.

Keywords: Uhlenbeck–Ford model (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:612:y:2023:i:c:s0378437123000304

DOI: 10.1016/j.physa.2023.128475

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