Virial series for a system of classical particles interacting through a pair potential with negative minimum

TL;DR

This paper revisits the virial series for classical particles with pair potentials, providing new bounds on convergence radius, especially for Lennard-Jones gases, improving previous estimates in the literature.

Contribution

It offers new lower bounds for the virial series convergence radius when the potential has a positive stability constant, enhancing understanding of Lennard-Jones gases.

Findings

New lower bounds for virial series convergence radius

Improved estimates for Lennard-Jones gas convergence

Enhanced theoretical understanding of classical particle systems

Abstract

In this note we revisit the recent developments concerning rigorous results on the virial series of a continuous system of classical particles interacting via a stable and tempered pair potential and we provide new lower bounds for its convergence radius when the potential has a strictly positive stability constant. As an application we obtain a new estimate for the convergence radius of the virial series of the Lennard-Jones gas which improves sensibly previous estimates present in the literature.