Abstract
Starting with the equation given by the Brussels group for low-order correlations in a dynamical system, the following properties are proved: Among the many contributions arising, any which contains an articulation point vanishes at equilibrium if the intermolecular potential possesses inversion symmetry. A special case of this theorem is the constancy of the velocity distribution under collisions at equilibrium due to detailed balancing. Derivation of the general Ursell-Mayer equilibrium theory of dense fluids follows immediately.
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