Note: An exact scaling relation for truncatable free energies of polydisperse hard-sphere mixtures

Abstract

A theoretical model for polydisperse systems of hard spheres is said to be truncatable when the excess free energy depends on the size distribution through a finite number $K$ of moments. This Note proves an exact scaling relation for truncatable free energies, which allows to reduce the effective degrees of freedom to $K-2$ independent combinations of the moments.

3 pages; v2: more explicit derivation

References in corpus (3)

• Diamondoid Molecules
• Contact values of the particle-particle and wall-particle correlation functions in a hard-sphere polydisperse fluid
• Test of a universality ansatz for the contact values of the radial distribution functions of hard-sphere mixtures near a hard wall

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• Equation of State of Four- and Five-Dimensional Hard-Hypersphere Mixtures
• Direct correlation function from the consistent fundamental-measure free energies for hard-sphere mixtures
• Density Functional Theory for Hard Particles in N Dimensions
• Predicting random close packing of binary hard-disk mixtures via third-virial-based parameters