Abstract
An exact integral equation is derived for FN+2/FN, where FN denotes the correlation function for a set N of molecules in a multicomponent fluid. The equation bears superficial resemblance in form and derivation by cluster theory to the Ornstein—Zernike equation derived by several workers recently. However, the equation is not closed since functions FN+1/FN appear, as well as a ``prototype sum'' which is similar to that in the equation for F2 but involves additional functions fn=exp(—wn/kT)−1, where wn is the n particle component of the potential of average force. The use of the equation to improve calculations of F2 is discussed for the one-component case and an approximate integral equation for f3, which would be zero were the Kirkwood superposition approximation exact, is explicitly stated.
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