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

arXiv:1202.0672 · doi:10.1063/1.3702439

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