IMPROVED EXPRESSIONS FOR THE RADIAL-DISTRIBUTION FUNCTION OF HARD-SPHERES

The solution of the first-order Ornstein-Zernike equation is applied t o 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 im posed to determine the parameters in the postulation. Very simple anal ytical expressions for the Laplace transform of the RDF are obtained f or hard spheres and hard sphere mixtures. The resulting RDFs are compa red satisfactorily with computer simulation data. (C) 1995 American In stitute of Physics.