Abstract
The irreducible integrals defined in the Mayer theory of real gases are derived for one-dimensional systems having hard rod, weak long range, Curie-Weiss and van der Waals potential functions. In two cases, independent knowledge of the exact equation of state of the gas permits the derivation of general star graph degeneracy relationships. These, in turn, are useful for the study of new potential functions; a penetrable repulsive force is shown to produce attractive force behavior in the gas state equation.
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