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arxiv: cond-mat/0111014 · v1 · pith:DUGLG2UTnew · submitted 2001-11-01 · ❄️ cond-mat.soft · cond-mat.dis-nn

Kinetic Arrest Originating in Competition betweenlinebreak Attractive Interaction and Packing Force

classification ❄️ cond-mat.soft cond-mat.dis-nn
keywords attractiveglassmodelpotentialsituationtreatmentusefulanalytical
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We discuss the situation where attractive and repulsive portions of the inter-particle potential both contribute significantly to glass formation. We introduce the square-well potential as prototypical model for this situation, and {\it reject} the Baxter as a useful model for comparison to experiment on glasses, based on our treatment within mode coupling theory. We present explicit results for various well-widths, and show that, for narrow wells, there is a useful analytical formula that would be suitable for experimentalist working in the field of colloidal science. We raise the question as to whether, in a more exact treatment, the sticky sphere limit might have an infinite glass transition temperature, or a high but finite one.

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