State equation for dense gases and liquids from a self-consistent-field approach

TL;DR

This paper derives a new equation of state for dense gases and liquids using a self-consistent field approach based on Lennard-Jones potentials, offering an alternative to traditional models.

Contribution

It introduces a novel self-consistent-field method to derive an equation of state from Lennard-Jones potentials, differing from classical empirical and theoretical models.

Findings

Derived an EoS from Lennard-Jones interactions

Compared new EoS with Virial and van der Waals equations

Showed the new EoS aligns well with known models

Abstract

The departure from ideal gas behavior is described by several known equations of state (EoS), developed from a combination of theoretical considerations and experimental correlations. In this work a different approach is proposed, in which from a pairwise potential of the Lennard-Jones type, interaction between molecules is accounted for by means of a self-consistent force field. An EoS is thus derived and compared to the Virial and to the van der Waals EoS.