Temperature expansions in the square-shoulder fluid. I. The Wiener-Hopf function

摘要

We investigate the spatial structure of dense square-shoulder fluids. To this end, we derive analytical perturbative solutions of the Ornstein-Zernike equation in the low- and high-temperature limits as expansions around the known hard sphere solutions. We then discuss the suitability of perturbative approaches in relation to the Ornstein-Zernike equation. Our analytical expressions are shown to reproduce reasonably well numerical data in the appropriate regimes.