Liquid-glass transition in charge-stabilized colloidal dispersions

Lai, S. K.; Wang, G. F.; Peng, W. P.
June 2000
AIP Conference Proceedings;2000, Vol. 519 Issue 1, p99
Academic Journal
We model the inter-colloidal interactions in a charge-stabilized colloidal dispersion by a hard-core Yukawa potential φ(r)=σ[sub o]γexp(-κr)/r, r≥ σ[sub o] and apply the rescaled mean spherical approximation to calculate its static structure factor. In conjunction with the idealized mode-coupling theory, we determine the loci of the liquid-glass transition phase boundary for a salt-free suspension of charged colloids evaluated at different counter-ion environment (characterized by the κ) in terms of the macro-ion parameters: volume fraction η, charge Ζ[sub 0] and size σ[sub 0]. The calculated parametric phase diagrams are quite general since the results, with slight and straightforward modification, can be utilized to study the glass transition in a more realistic colloidal solution such as an aqueous monodisperse suspension of polystyrene charged spheres with an added electrolyte. Confining our discussion, then, to the simplest salt-free colloidal liquids, we extract from our analysis of the calculated liquid-glass transition boundaries some succinct features. Specifically, we show in this work that given a range of interaction κ=κσ[sub 0] ... 3.8, there is a possibility of observing the liquid...glass...liquid...glass (LGLG) re-entrant phenomenon in restrictive regions of the phase diagram η-σ[sub 0] or η-Ζ[sub 0] for a monodisperse charge-stabilized solution. However, as the σ[sub 0] increases above a critical size, the LGLG re-entrant behavior vanishes. To delve into this re-entrant phenomenon, we compare, for a given κ, the glassy Debye-Waller factor, static structure factor and their spatial counterparts for two cases— one for lower-Ζ[sub 0] colloids at a high η and the other for higher-Ζ[sub 0] colloids at a low η. For the former, the glassification is basically driven by the geometric restriction while that, for the latter, it is...


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