Temperature Expansions in the Square-Shoulder Fluid I: the Wiener-Hopf Function

TL;DR

This paper develops analytical solutions for the structure of dense square-shoulder fluids using perturbative expansions of the Ornstein-Zernike equation in different temperature regimes, enhancing understanding of their spatial correlations.

Contribution

It introduces perturbative analytical solutions for the Ornstein-Zernike equation specific to square-shoulder fluids at low and high temperatures, extending prior hard sphere models.

Findings

Perturbative solutions are effective in low and high-temperature limits.

Analytical expressions for the Wiener-Hopf function are derived.

The approach clarifies the applicability of perturbation methods in fluid structure analysis.

Abstract

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.