On the coexistence of phases in a Lennard Jones liquid:first results

TL;DR

This paper explores the conditions for phase coexistence in a Lennard-Jones fluid using virial expansion, deriving an approximate relation between densities and potentials, with implications for planetary modeling.

Contribution

It introduces a simple approximate relation for phase coexistence in Lennard-Jones fluids based on virial expansion, a preliminary step towards more comprehensive models.

Findings

Derived an approximate relation between coexisting densities and potentials.

Identified the relevance of phase coexistence conditions for planetary modeling.

Provided initial insights into Lennard-Jones phase behavior.

Abstract

The aim of this paper is to investigate the conditions for the coexistence of phases in a Lennard Jones fluid. The calculation has been performed within the virial developement mathod and, as a result, a simple approximate relation has been obtained between the number densities of two coexisting densities and the interparticle potentials in them. The calculation is preliminary,in the sense that it does not take into account the equality of the chemical potentials. The results of this work may have implications for modelling of the giant planets. More than 300 exoplanets have been discovered, so this has become more important than ever.