Contact values for disparate-size hard-sphere mixtures

TL;DR

This paper introduces new formulas for contact values in binary mixtures of hard spheres with disparate sizes, validated against simulation data, enhancing understanding of particle interactions in such systems.

Contribution

It proposes novel formulas for contact values in size-disparate binary hard-sphere mixtures using a universality ansatz, improving upon previous models.

Findings

Good agreement with simulation data for large-large radial distribution functions.

New formulas outperform some existing models in certain size disparity regimes.

Discussion on the applicability and limitations of the proposed formulas.

Abstract

A universality ansatz for the contact values of a multicomponent mixture of additive hard spheres is used to propose new formulae for the case of disparate-size binary mixtures. A comparison with simulation data and with a recent proposal by Alawneh and Henderson for binary mixtures shows reasonably good agreement with the predictions for the contact values of the large-large radial distribution functions. A discussion on the usefulness and limitations of the new proposals is also presented.