Direct correlation function from the consistent fundamental-measure free energies for hard-sphere mixtures

TL;DR

This paper derives the direct correlation function from Santos's self-consistent Fundamental Measure Theory for hard-sphere mixtures, revealing divergence at all densities, which impacts the theory's applicability.

Contribution

It introduces a derivation of the direct correlation function from Santos's functional and analyzes its divergence behavior across densities.

Findings

Direct correlation function diverges at all densities.

Santos functional's self-consistency condition influences correlation functions.

Implications for the validity of the functional in modeling hard-sphere mixtures.

Abstract

In a recent publication[PRE 86, 04012 (2012)], Santos has presented a self-consistency condition that can be used to limit the possible forms of Fundamental Measure Theory. Here, the direct correlation function resulting from the Santos functional is derived and it is found to diverge for all densities.