Local and global properties of mixtures in one-dimensional systems. II. Exact results for the Kirkwood-Buff integral

TL;DR

This paper provides exact calculations of Kirkwood-Buff integrals for one-dimensional two-component mixtures, validating the results through application to square-well particles and comparison with theoretical inversion methods.

Contribution

It presents exact solutions for Kirkwood-Buff integrals in one-dimensional mixtures, enhancing understanding of their properties and validating theoretical approaches.

Findings

Exact Kirkwood-Buff integrals for 1D mixtures obtained

Results agree with inversion of Kirkwood-Buff theory

Application to square-well particles confirms validity

Abstract

The Kirkwood-Buff integrals for two-component mixtures in one-dimensional systems are calculated directly. The results are applied to square-well particles and found to agree with those obtained by the inversion of the Kirkwood-Buff theory of solutions.