Pair distribution functions of a binary Yukawa mixture and their asymptotic behavior - art. no. 061110

Based on an analytic solution of the mean spherical model for a binary hard sphere Yukawa mixture, we have examined the pair distribution functions g( ij)(r), focusing. in particular, on two aspects: (i) We present two complem entary methods to compute the g(ij)(r) accurately and efficiently over the entire r range. (ii) The poles of the Laplace transforms of the pair distri bution functions in the left half of the complex plane close to the origin determine the universal asymptotic behavior of the g(ij)(r). Although the m eaning of the role of the subsequent poles-which typically are arranged in two branches-is not yet completely clear, there are strong indications that the distribution pattern of the poles is related to the thermodynamic slat e of the system.