Approximate solution of the Percus-Yevick equation for a binary mixture of hard spheres with non-additive diameters

Publisher Website
Google Scholar
Abstract
We present an approximate solution of the Percus-Yevick integral equation for a binary mixture of hard spheres with non-additive diameters. Defining Rij the distance of closest approach between particles of species i and j by R 12 = ½(R 11 + R 22) + α, we obtain a closed set of equations for the direct correlation functions cij (r) when 0 < α ⩽ min [½(R 22 - R 11), ½R 11]. Our expressions for cii (r), and for c 12(r) in the range 0 < r ⩽ ½[R 22 - R 11] - α, agree with those previously obtained by Lebowitz and Zomick.