Document 
Eur. Phys. J. E (2008)
DOI: 10.1140/epje/i2008-10361-0
Flow curves of colloidal dispersions close to the glass transition
Asymptotic scaling laws in a schematic model of mode coupling theory
D. Hajnal1 and M. Fuchs21 Johannes Gutenberg-Universität Mainz, Institut für Physik, Staudinger Weg 7, D-55099, Mainz, Germany
2 Universität Konstanz, Fachbereich Physik, D-78457, Konstanz, Germany
matthias.fuchs@uni-konstanz.de
Received 30 April 2008 / Published online 9 September 2008
Abstract
The flow curves, viz. the curves of stationary stress under steady shearing, are obtained close to the glass transition in dense colloidal dispersions using asymptotic expansions in the schematic
-model of mode coupling theory. The shear thinning of the viscosity in fluid states and the yielding of glassy states is discussed. At the transition between fluid and shear-molten glass, simple and generalized Herschel-Bulkley laws are derived with power law exponents that can be computed for different particle interactions from the equilibrium structure factor.
82.70.Dd - Colloids.
83.50.Ax - Steady shear flows, viscometric flow.
83.60.Df - Nonlinear viscoelasticity.
64.70.Q- - Theory and modeling of the glass transition. Correspondence: matthias.fuchs@uni-konstanz.de
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2008