Density functional for ternary non-additive hard sphere mixtures

Abstract

Based on fundamental measure theory, a Helmholtz free energy density functional for three-component mixtures of hard spheres with general, non-additive interaction distances is constructed. The functional constitutes a generalization of the previously given theory for binary non-additive mixtures. The diagrammatic structure of the spatial integrals in both functionals is of star-like (or tree-like) topology. The ternary diagrams possess a higher degree of complexity than the binary diagrams. Results for partial pair correlation functions, obtained via the Ornstein-Zernike route from the second functional derivatives of the excess free energy functional, agree well with Monte Carlo simulation data.

6 pages, 4 figures

References in corpus (3)

• Equation of state of non-additive $d$-dimensional hard-sphere mixtures
• Exact bulk correlation functions in one-dimensional nonadditive hard-core mixtures
• Binary non-additive hard sphere mixtures: Fluid demixing, asymptotic decay of correlations and free fluid interfaces

Cited by in corpus (3)

• Collective behavior of colloids due to critical Casimir interactions
• Power functional theory for many-body dynamics
• Phase behavior of colloidal suspensions with critical solvents in terms of effective interactions