The Wiener–Hopf technique has been been applied to solve the Ornstein–Zernike equation for hard sphere fluids and to calculate thereby a thermodynamically consistent equation of state. An analytic form of a thermodynamically consistent equation of state for hard sphere fluids is obtained in which the correlation range is treated as an adjustable parameter. With a suitable choice of the range parameter the equation of state presented is found to be numerically comparable to the Carnahan–Starling equation of state in accuracy.
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Eu et al. (2003) studied this question.
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