Integral equations for conventional correlation functions of simple dimerizing fluids

An integral equation theory is proposed for the atom-atom correlation functions of a simple reacting fluid, namely one in which a dimerization reaction is occurring. For a model fluid composed of hard sphere monomers and rigid dumbbell dimers the integral equations are solved exactly in the Percus-Yevick approximation, and an explicit expression for the equilibrium constant is derived. Comparison is made with the relevant Monte Carlo simulation data.