Abstract

Within the framework of the mode-coupling theory of super-cooledliquids, we investigate new phenomena in colloidal systems on approachto their glass transitions. When the inter-particle potentialcontains an attractive part, besides the usual repulsive hard core,two intersecting liquid-glass transition lines appear, one of whichextends to low densities, while the other one, at high densities,shows a re-entrant behaviour. In the glassy region a newtype of transition appears between two different types ofglasses. The complex phenomenology can be described in terms of higherorder glass transition singularities. The various glass phases arecharacterized by means of their viscoelastic properties.The glass driven by attractions has been associatedwith particle gels, andthe other glass is the well known repulsive colloidal glass. Thesecorrespondences, in association with the new predictions of glassybehaviour, mean that such phenomena may be expected in colloidal systemswith, for example, strong depletion or other short-ranged attractivepotentials.

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