A heuristic rule for classification of classical fluids: Master curves for Mie, Yukawa and square-well potentials

TL;DR

This paper demonstrates that shifting vapor-liquid coexistence curves by the critical reduced second virial coefficient creates universal master curves for various classical fluids, significantly improving the extended corresponding-states law.

Contribution

It introduces a modified extended corresponding-states law that collapses data onto master curves for Mie, Yukawa, and square-well potentials, enhancing predictive accuracy.

Findings

Master curves successfully collapse data for Mie, Yukawa, and square-well fluids.

Shifted curves improve the extended corresponding-states law.

Square-well potential exhibits two distinct master curves.

Abstract

A shift of the vapor-liquid coexistence curves by the critical value of the reduced second virial coefficient yields striking data collapses to define master curves. This is observed for the Mie, Yukawa and square-well fluids of different attractive ranges. This modification of the extended corresponding-states law of Noro and Frenkel strongly improves the outcomes from the van der Waals principle. Moreover, this shifted extended principle makes the master curves from Mie and Yukawa potentials to be one on top of the other. The square-well potential forms two well defined master curves, each one corresponding to different effective critical exponents.