Demixing in a single-peak distributed polydisperse mixture of hard spheres
- 15 April 1999
- journal article
- Published by IOP Publishing in Europhysics Letters
- Vol. 46 (2) , 197-203
- https://doi.org/10.1209/epl/i1999-00244-6
Abstract
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.Keywords
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