Volume 46, Number 2, April II 1999
|Page(s)||197 - 203|
|Section||Condensed matter: structure, mechanical and thermal properties|
|Published online||01 September 2002|
Demixing in a single-peak distributed polydisperse mixture of hard spheres
Grupo Interdisciplinar de Sistemas Complicados
(GISC), Departamento de Matemáticas
Universidad Carlos III de
Avda. de la Universidad, 30, E-28911, Leganés, Madrid,
Accepted: 5 February 1999
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 Boublík-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.
PACS: 61.20.Gy – Theory and models of liquid structure / 64.75.+g – Solubility, segregation, and mixing; phase separation / 82.70.Dd – Colloids
© EDP Sciences, 1999
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