An excess chemical potential for binary hard-sphere mixtures from integral equation theory

TL;DR

This paper uses integral equation theory to compute the excess chemical potential in binary hard-sphere mixtures, providing analytical and numerical results that align well with existing literature.

Contribution

It introduces a method to calculate excess chemical potential for binary hard-sphere mixtures using the Ornstein-Zernike equation with Percus-Yevick closure.

Findings

Good agreement with literature results

Calculations for various diameter ratios

Analytical expression for excess chemical potential

Abstract

We solve the site-site Ornstein-Zernike equation using the Percus-Yevick closure for binary hard-sphere mixture. We calculate an excess chemical potential for the mixture's diameter ratios of 0.3, 0.5, 0.6 and 0.9, and at packing fraction of 0.49 using the analytical expression. Our numerical results are in good agreement with those in the literature.