New Virial Equation of State for Hard-Disk Fluids

TL;DR

This paper introduces a new virial equation of state for hard-disk fluids that accurately matches the first eighteen virial coefficients and aligns well with simulation data across the entire fluid range.

Contribution

A novel virial-based equation of state that simultaneously reproduces known virial coefficients and provides high accuracy compared to simulations.

Findings

Accurately reproduces the first eighteen virial coefficients.

Provides excellent agreement with computer simulation data.

Captures the limiting behavior at the closest packing limit.

Abstract

Although many equations of state of hard-disk fluids have been proposed, none is capable of reproducing the currently calculated or estimated values of the first eighteen virial coefficients at the same time as giving very good accuracy when compared with computer simulation values for the compressibility factor over the whole fluid range. A new virial-based expression is here proposed which achieves these aims. For that, we use the fact that the currently accepted estimated values for the highest virial coefficients behave linearly with their order, and also that virial coefficients must have a limiting behaviour that permits the closest packing limit in the compressibility factor to be also adequately reproduced.