Abstract
The identity is established of the cluster expansion in powers of n for the pair distribution function obtained in the preceding paper with another expansion of the pair distribution function in powers of n obtained by Bogolubov, Uhlenbeck and Choh from the B-B-G-K-Y-hierarchy. Three sufficient conditions are given under which these expansions can be obtained. For an infinitely large system at not too high densities after the lapse of some time after t = 0, these conditions are 1) a statistical assumption at t = 0, 2) some conditions on the interaction potential, 3) the use of coarse-grained distribution functions.
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