A non-linear truncation scheme for the Ornstein-Zernike equation for dipolar fluids

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Abstract
A non-linear truncation method is proposed to represent the solution of the Ornstein-Zernike equation for dipolar fluids in terms of a finite number of angular projections. This method, which becomes exact at low densities, can be applied to the Percus-Yevick and hypernetted chain closures, and has the potential to study angular projections beyond the usual three angular projections that arise in the mean spherical approximation. Some numerical results for the hypernetted chain closure for hard sphere dipolar fluids will be given.