2003
DOI: 10.1007/s00023-003-0949-3
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Arrest and Flow of Colloidal Glasses

Abstract: I review recent progress in understanding the arrest and flow behaviour of colloidal glasses, based on mode coupling theory (MCT) and related approaches. MCT has had notable recent successes in predicting the re-entrant arrest behaviour of colloids with short range attractions. Developments based upon it offer important steps towards calculating, from rational foundations in statistical mechanics, nonlinear flow parameters such as the yield stress of a colloidal glass. An important open question is why MCT wor… Show more

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Cited by 36 publications
(36 citation statements)
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“…Here we do not attempt to mediate between those who support and those who oppose the basic philosophy of MCT (see [8,9] for discussions). Instead, in sections 2-4, we outline three areas of recent work that examine the ability of MCT to deal with heterogeneous systems.…”
Section: Introductionmentioning
confidence: 99%
“…Here we do not attempt to mediate between those who support and those who oppose the basic philosophy of MCT (see [8,9] for discussions). Instead, in sections 2-4, we outline three areas of recent work that examine the ability of MCT to deal with heterogeneous systems.…”
Section: Introductionmentioning
confidence: 99%
“…The viscoelastic properties around the glass transition have been investigated recently for both hard spheres and soft spheres (Mason & Weitz 1995;Cloitre et al 2003;Crassous et al 2005;Helgeson et al 2007;Koumakis et al 2008;Le Grand & Petekidis 2008;Carrier & Petekidis 2009). Mode coupling theory (MCT) provides a powerful theoretical framework for a variety of colloidal glasses (Cates 2003;Fuchs & Cates 2003;Holmes et al 2005;Kobelev & Schweizer 2005a,b). Recent experimental work with model colloidal systems explored analogies between hard-and soft-sphere suspensions (Vlassopoulos 2004;Crassous et al 2005;Gopalakrishnan et al 2005;Le Grand & Petekidis 2008).…”
Section: Introductionmentioning
confidence: 99%
“…From the Smoluchowski equation (or the corresponding nonlinear Langevin equation for the density ρ(r) [7,17]), one can derive a hierarchy of equations of motion for correlators such as S(q, t), more conveniently expressed via Φ(q, t) ≡ S(q, t)/S(q). Factoring arbitrarily the four-point correlators that arise in this hierarchy into products of two Φ's, one obtains a closed equation of motion for the two point correlatoṙ…”
Section: Mode Coupling Theory (Mct)mentioning
confidence: 99%
“…which confirms this statement [3,4] (as does related work on spin-glass models, [5]). That model shows a range of interesting flow behaviour, some of which might be useful in describing dense colloidal suspensions; however, we review here a different, complementary, approach [6][7][8][9][10]. This is based on mode coupling theory (MCT) and is limited in scope to address the steady state flow curve: it cannot, as yet, address either ageing or time-dependent flows.…”
Section: Introductionmentioning
confidence: 99%