An explicit expression for the static structure factor for a multi-Yukawa fluid: the one-component case

This expression depends on scaling matrix Γ , which is determined by solving a set of nonlinear equations. Our theoretical results show that using three Yukawa terms in the closure relation greatly improves the accuracy when compared with hypernetted-chain closure and Monte Carlo simulation data, which display a secondary low- k peak in the SSF, due to the formation of an intermediate range order structure governed by a short-range attraction and a long-range repulsion.

We discuss the appearance of such a peak in terms of the microstructure order given by the radial distribution function. Following the original proposal made by Waisman (Mol Phys. 1973; 25:45–48), we give an explicit expression that improves the structural properties of a hard-sphere system.