An empirical constitutive law for concentrated colloidal suspensions in the approach of the glass transition
Concentrated, non-crystallizing colloidal suspensions in their approach of the glass state exhibit distinct dynamics patterns. These patterns suggest a powerlaw rheological constitutive model for near-glass viscoelasticity, as presented here. The rheological parameters used for this model originate in the mode-coupling theory. The proposed constitutive model provides explicit expressions for the steady shear viscosity, the steady normal stress coefficient, the modulus-compliance relation, and the α peak of G″. The relaxation pattern distinctly differs from gelation.
KeywordsGlass transition Mode-coupling theory Colloidal glass BSW spectrum Linear viscoelasticity Near-glass dynamics
HHW acknowledges NSF support (CBET-0651888) and the 2007 Summer School at the Aspen Center for Physics. We also thank the Deutsche Forschungsgemeinschaft, Forschergruppe 608 “Nichtlineare Dynamik,” Bayreuth, and IRTG 667 “Soft Condensed Matter Physics” at Konstanz, for financial support.
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