Corresponding states law for a generalized Lennard-Jones potential

TL;DR

This study extends the corresponding states law to a generalized Lennard-Jones potential, demonstrating that vapor-liquid properties collapse onto master curves when plotted against the difference in reduced second virial coefficients.

Contribution

It introduces a new validation of the corresponding states law for a generalized Lennard-Jones potential using molecular dynamics simulations across various attractive ranges.

Findings

Properties collapse onto master curves when plotted against the reduced second virial coefficient difference.

Vapor-liquid curve shape matches that of Mie and Yukawa models.

Surface tension and vapor pressure logarithm are linear functions of the coefficient difference.

Abstract

It was recently shown that vapor-liquid coexistence densities derived from Mie and Yukawa models collapse to define a single master curve when represented against the difference between the reduced second virial coefficient at the corresponding temperature and that at the critical point. In this work we further test this proposal for another generalization of the Lennard-Jones pair potential. This is carried out for vapor-liquid coexistence densities, surface tension, and vapor pressure, along a temperature window set below the critical point. For this purpose we perform molecular dynamics simulations by varying the potential softness parameter to produce from very short to intermediate attractive ranges. We observed all properties to collapse and yield master curves. Moreover, the vapor-liquid curve is found to share the exact shape of the Mie and attractive Yukawa. Furthermore, the surface tension and the logarithm of the vapor pressure are linear functions of this difference of reduced second virial coefficients.