Asymptotic Behavior for the Particle Distribution Functions of Simple Fluids near the Critical Point. II

The main purpose of this paper is to investigate the asymptotic behavior of the reduced probability density, ρp+q+s ({p}, {q}, {s}), of p+q+s molecules when the molecules within each of the three subsets {p}, {q}, and {s}, are close together but there are large separations between the sets of p, q, and s particles. The interest is in the case where p, q, and s are unity or two. One may use the asymptotic long-range correlation function to understand the critical singularity of the thermodynamic quantities at the critical point.