Theory of Classical Fluids and the Convolution Approximation (Note on Papers by Tohru Morita)

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Abstract
A method employed by Morita for the approximate calculation of the free energy and pair distribution function of classical fluids is seen to be identical with the nodal expansion method. The limit of the nodal expansion sequence results in an approximate integral equation for the potential of average force. This convolution approximation is seen to be consistent with the Ornstein-Zernike theory of fluids, and thus provides a convenient means for investigating the behavior of fluids near the critical point. The convolution approximation results also from neglecting the non-convolutory terms in an exact integral equation for the pair distribution function.

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