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The flow curves, viz. the curves of stationary stress under steady shearing,are obtained close to the glass transition in dense colloidal dispersions usingasymptotic expansions in a schematic model of mode coupling theory. The shearthinning of the viscosity in fluid states and the yielding of glassy states isdiscussed. At the transition between fluid and shear-molten glass, simple andgeneralized Herschel-Bulkley laws are derived with power law exponents that canbe computed for different particle interactions from the equilibrium structurefactor.

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