Freezing and melting equations for the $n$-6 Lennard-Jones systems

TL;DR

This paper develops generalized freezing and melting equations for n-6 Lennard-Jones systems based on previous models and accurate triple point data, enhancing understanding of phase transitions in these systems.

Contribution

It extends existing models to a broader class of Lennard-Jones systems using accurate triple point data, providing a more universal description of phase transitions.

Findings

Derived simple equations for freezing and melting of n-6 Lennard-Jones systems.

Validated equations against accurate triple point data.

Enhanced predictive capability for phase behavior in LJ systems.

Abstract

We generalize previous approach of Khrapak and Morfill [J. Chem. Phys. {\bf 134}, 094108 (2011)] to construct simple and sufficiently accurate freezing and melting equations for the conventional Lennard-Jones (LJ) system to $n$-6 LJ systems, using the accurate results for the triple points of these systems published by Sousa {\it et al.} [J. Chem. Phys. {\bf 136}, 174502 (2012)].