
%0 Journal Article
%A Baxter, RJ 
%T Ornstein&#8211;Zernike Relation for a Disordered Fluid
%J Australian Journal of Physics
%D 1968/10/01
%V 21
%N 5
%P 563-570
%K 
%R https://doi.org/10.1071/PH680563
%U https://www.publish.csiro.au/paper/PH680563 
%X The Ornstein&#8211;Zernike equation for a homogeneous fluid relates the direct correlation function c(r) and the indirect correlation function h(r). In this paper it is shown that if c(r) vanishes beyond a range R then a third function Q(r) can be introduced which is related to c(r) and h(r) by equations that involve the functions only over the range (O,R). The analytic solution of the Percus&#8211;Yevick approximation for hard spheres can then be obtained very simply and, as c® normally tends rapidly to zero with increasing r, it is expected that the results should be of use in numerical calculations based on the Percus&#8211;Yevick, convolution-hypernetted chain, or similar approximations. 
