Structure and thermodynamics of multi-component/multi-Yukawa mixtures

TL;DR

This paper introduces a generalized closure for the Ornstein-Zernike equation using multiple Yukawa potentials, enabling analysis of complex multi-component mixtures and providing explicit solutions for monodisperse systems.

Contribution

It proposes a new closure method for the Ornstein-Zernike equation involving multiple Yukawa terms, extending beyond the MSA and applicable to polydisperse systems.

Findings

Derived an explicit continued fraction solution for monodisperse systems.

Validated the method with new small angle scattering experimental data.

Enhanced understanding of structure functions in colloidal mixtures.

Abstract

New small angle scattering experiments reveal new peaks in colloidal systems (S.H. Chen et al) in the structure function S(k), in a region that was inaccessible with older instruments. We propose here general closure of the Ornstein Zernike equation, that is the sum of an arbitrary number of yukawas, and that that will go well beyond the MSA . For this closure we get for the Laplace transform of the pair correlation function . This function is easily transformed into S(k) by replacing the Laplace variable by the Fourier wariable. Although the method is general and valid for polydisperse systems, an explicit continued fraction solution is found for the monodisperse case.