Flow curves of colloidal dispersions close to the glass transition: Asymptotic scaling laws in a schematic model of mode coupling theory

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 a 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.

14 pages, 14 figures, 4 tables, Eur. Phys. J. E (submitted)

References in corpus (4)

• Three-dimensional imaging of colloidal glasses under steady shear
• Shear stresses of colloidal dispersions at the glass transition in equilibrium and in flow
• Dense colloidal suspensions under time-dependent shear
• Yield Stress Discontinuity in a Simple Glass

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• Nonlinear response of dense colloidal suspensions under oscillatory shear: Mode-coupling theory and FT-rheology experiments
• Overshoots in stress strain curves: Colloid experiments and schematic mode coupling theory
• Tests of mode-coupling theory in two dimensions
• Transient stress evolution in repulsion and attraction dominated glasses
• Asymptotic analysis of mode-coupling theory of active nonlinear microrheology
• Depinning dynamics of confined colloidal dispersions under oscillatory shear