Abstract
The difficulties of the classical theory of simple fluids can be reduced to one of determining the form of the weak long-range component of the direct correlation function. It is suggested that this component can, as an approximation, be regarded as a measure of the lack of mutual interference of parallel chains of molecular correlations. This view leads to simple functional forms for the component and so to equations of state. The results are compared with those of the first and second versions of the Percus-Yevick and hyper-netted chain approximations and are shown to be of similar accuracy to the latter, but more tractable. A third explicit solution of the equation of state for hard spheres is obtained from the first Percus-Yevick approximation by using the relation between the potential of average force and the chemical potential.

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