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American Physical Society, Physical Review Letters, 5(98), 2007

DOI: 10.1103/physrevlett.98.058301

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Dense Colloidal Suspensions under Time-Dependent Shear

Journal article published in 2007 by Joseph M. Brader, Th-H. Voigtmann ORCID, Michael E. Cates, Matthias Fuchs
This paper is available in a repository.
This paper is available in a repository.

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Abstract

We consider the nonlinear rheology of dense colloidal suspensions under a time-dependent simple shear flow. Starting from the Smoluchowski equation for interacting Brownian particles advected by shearing (ignoring fluctuations in fluid velocity), we develop a formalism which enables the calculation of time-dependent, far-from-equilibrium averages. Taking shear stress as an example, we derive exactly a generalized Green-Kubo relation and an equation of motion for the transient density correlator, involving a three-time memory function. Mode coupling approximations give a closed constitutive equation yielding the time-dependent stress for arbitrary shear rate history. We solve this equation numerically for the special case of a hard sphere glass subject to step strain.