
TY  - JOUR
A1  - Baxter, RJ 
T1  - Ornstein&#8211;Zernike Relation for a Disordered Fluid
JF  - Australian Journal of Physics
JO  - Aust. J.  Phys.
Y1  - 1968
VL  - 21
IS  - 5
SP  - 563
EP  - 570
KW  - 
UR  - https://doi.org/10.1071/PH680563 
N2  - 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. 
ER  -

