Thermodynamic properties of a polydisperse system.
We use the virial theorem to derive a closed analytic form of the Helmholtz free energy for a polydisperse system of sticky hard spheres (SHS) within the mean spherical model (MSM). To this end we calculate the free energy of the MSM for an N-component mixture of SHS via the virial route and apply to it-after imposing a Lorentz-Berthelot type rule on the interactions-the stochastic (i.e., polydisperse) limit. The resulting excess free energy of this polydisperse system is of the truncatable moment free energy format. We also discuss the compressibility and the energy routes.
Tutschka
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Institut für Theoretische Physik and CMS, TU Wien, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria.
Kahl
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