Publikation: Dense colloidal suspensions under time-dependent shear
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2007
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Physical Review Letters. 2007, 98, 58301. Available under: doi: 10.1103/PhysRevLett.98.058301
Zusammenfassung
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 timedependent, 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.
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BRADER, Joseph M., Thomas VOIGTMANN, Michael E. CATES, Matthias FUCHS, 2007. Dense colloidal suspensions under time-dependent shear. In: Physical Review Letters. 2007, 98, 58301. Available under: doi: 10.1103/PhysRevLett.98.058301BibTex
@article{Brader2007Dense-9060,
year={2007},
doi={10.1103/PhysRevLett.98.058301},
title={Dense colloidal suspensions under time-dependent shear},
volume={98},
journal={Physical Review Letters},
author={Brader, Joseph M. and Voigtmann, Thomas and Cates, Michael E. and Fuchs, Matthias},
note={Article Number: 58301}
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<dcterms:abstract xml:lang="eng">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 timedependent, 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.</dcterms:abstract>
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