1995•The Journal of Chemical PhysicsRequires access

Improved expressions for the radial distribution function of hard spheres

Yiping Tang, Benjamin C.‐Y. Lu

Abstract

The solution of the first-order Ornstein–Zernike equation is applied to improve the Percus–Yevick radial distribution function (RDF) of hard spheres, where the direct correlation function is postulated to hold the Yukawa form outside the hard core. Thermodynamic consistency is imposed to determine the parameters in the postulation. Very simple analytical expressions for the Laplace transform of the RDF are obtained for hard spheres and hard sphere mixtures. The resulting RDFs are compared satisfactorily with computer simulation data.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 58 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Radial distribution function, Hard spheres, Ornstein–Zernike equation, Yukawa potential, SPHERES, Laplace transform, Hard core, Simple (philosophy)