2004
DOI: 10.1103/physrevlett.92.148302
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Cluster Mode-Coupling Approach to Weak Gelation in Attractive Colloids

Abstract: Mode-coupling theory (MCT) predicts arrest of colloids in terms of their volume fraction, and the range and depth of the interparticle attraction. We discuss how effective values of these parameters evolve under cluster aggregation. We argue that weak gelation in colloids can be idealized as a two-stage ergodicity breaking: first at short scales (approximated by the bare MCT) and then at larger scales (governed by MCT applied to clusters). The competition between arrest and phase separation is considered in re… Show more

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Cited by 137 publications
(155 citation statements)
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“…[30][31][32] On the line the fluid becomes unstable with respect to periodic density fluctuations with wave number k c , indicating that there is a phase transition to a modulated phase ͑either a crystalline or striped phase͒, which may be preempted by a transition to a glassy nonergodic state. 15,21,33 In mean field treatments the line encloses a region of the phase diagram where one would expect to find the liquid-gas critical point, and it intersects the binodal at densities on either side of the critical point. 10 We find such behavior in the present DFT approach.…”
Section: Introductionmentioning
confidence: 99%
“…[30][31][32] On the line the fluid becomes unstable with respect to periodic density fluctuations with wave number k c , indicating that there is a phase transition to a modulated phase ͑either a crystalline or striped phase͒, which may be preempted by a transition to a glassy nonergodic state. 15,21,33 In mean field treatments the line encloses a region of the phase diagram where one would expect to find the liquid-gas critical point, and it intersects the binodal at densities on either side of the critical point. 10 We find such behavior in the present DFT approach.…”
Section: Introductionmentioning
confidence: 99%
“…(clusters) which, in turn, arrest due to either caging or residual attraction, as in the double-ergodicity breaking scenario mentioned above [9,10,11]. The clusters are viewed as compact (spherical or quasi-spherical) renormalized particles of diameterR 0 , whose effective volume fraction may be identified with the one determined by the spheres enclosing them (i.e.…”
mentioning
confidence: 99%
“…Their effective interactions are directly responsible for the macroscopic prop-erties of the system. This scheme can be associated to a double ergodicity-breaking scenario where the arrest occurs in form of a cluster-glass transition [9,10,11]. A sine qua non is that further coalescence of the clusters, leading to phase separation, is prevented on the observation time scale [10].…”
mentioning
confidence: 99%
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“…However, our study of dynamical relaxation in equilibrium systems suggests that the timescales as well as the character of relaxation in real systems with similarly short-ranged interactions can vary very sharply over a narrow range of B * 2 . Future work will consider wider ranges of N , c p and B * 2 in order to allow comparison to published results for phenomena such as dynamical arrest in individual clusters [16,38] and bulk systems [32], as well as guiding future experiments. …”
Section: Discussionmentioning
confidence: 99%