Demixing in a single-peak distributed polydisperse mixture of hard spheres

Details Demixing in a single-peak distributed polydisperse mixture of hard spheres Demixing in a single-peak distributed polydisperse mixture of hard spheres

1998-07-02

arxiv.org/abs/cond-mat/9807030v1

Europhys. Lett. 46, 197 (1999)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 2 figures, needs revtex, multicol, epsfig and amstex style files

Scientific paper

10.1209/epl/i1999-00244-6

An analytic derivation of the spinodal of a polydisperse mixture is presented. It holds for fluids whose excess free energy can be accurately described by a function of a few moments of the size distribution. It is shown that one such mixture of hard spheres in the Percus-Yevick approximation never demixes, despite its size distribution. In the Boublik-Mansoori-Carnahan-Starling-Leland approximation, though, it demixes for a sufficiently wide log-normal size distribution. The importance of this result is twofold: first, this distribution is unimodal, and yet it phase separates; and second, log-normal size distributions appear in many experimental contexts. The same phenomenon is shown to occur for the fluid of parallel hard cubes.

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