Weak depletion gels with particle radii of∼200–500 nm have been reported to display a time-dependent settling behaviour where aninitially space spanning gel displays a catastrophic collapse after a characteristic period oftime, defined as the delay time. Several experiments suggest that thermally activatedparticle rearrangements promote macroscopic gel coarsening, which ultimately triggers therapid collapse. The delay time is found to be a sensitive function of the colloid volumefraction and polymer concentration. We have performed systematic experiments on thesilica–decalin–polystyrene depletion system to explore how colloid volume fraction, polymerconcentration, particle radius and ratio of polymer radius of gyration to particle radiusinfluence the delayed collapse time of transient gels. We employ a recently developedactivated barrier-hopping theory to make predictions of the timescales over which colloidscan escape localized states as a function of system parameters. Our study shows that,within experimental uncertainty, delay times follow an exponential dependence on acomposite variable that is a function of the three controllable system variables, which isvery similar to that predicted for the thermally activated local rearrangementtimescales. This provides support for the hypothesis that thermally activated particlemotions are a rate-limiting step in determining the timescale for the initiation ofcatastrophic collapse of transient gels. In addition, the model explains why transientgel formation is found to be absent in weak depletion gels as particle sizes arereduced.
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