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

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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3 pages; v2: more explicit derivation

Scientific paper

10.1063/1.3702439

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.

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