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On the stability of polydisperse colloidal crystals

By J.L. Barrat and J.P. Hansen

Abstract

The recently developed density functional theory of freezing is applied to an investigation of the mechanical and thermodynamic stability of polydisperse colloidal crystals. The colloidal particles are modelled by hard spheres with a continuous distribution p(σ) of additive diameters. It is shown that such solid solutions cease to be stable beyond a critical degree of polydispersity, which depends somewhat on the shape of p(σ), but is always of the order of 20 %. The problem of determining the fluid-solid coexistence curve is also briefly examined.Le formalisme de la fonctionnelle de la densité est appliqué à l'étude de la stabilité mécanique et thermodynamique de cristaux colloidaux polydisperses. Les particules colloidales sont assimilées à des sphères dures avec une distribution continue, p(σ), de diamètres additifs. On montre que de telles solutions solides cessent d'être stables au-delà d'un degré de polydispersité critique, qui dépend de la forme de p(σ), mais est toujours de l'ordre de 20 %. Le problème de la détermination de la courbe de coexistence fluide-solide est brièvement évoqué

Publisher: EDP Sciences
Year: 1986
DOI identifier: 10.1051/jphys:019860047090154700
OAI identifier: oai:edpsciences.org:dkey/10.1051/jphys:019860047090154700
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