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Abstract
We consider the nonlinear rheology of dense colloidal suspensions under a timedependent 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, farfromequilibrium averages. Taking shear stress as an example, we derive exactly a generalized GreenKubo relation and an equation of motion for the transient density correlator, involving a threetime memory function. Mode coupling approximations give a closed constitutive equation yielding the timedependent stress for arbitrary shear rate history. We solve this equation numerically for the special case of a hard sphere glass subject to step strain.
Original language  English 

Article number  058301 
Pages (fromto)   
Number of pages  4 
Journal  Physical Review Letters 
Volume  98 
Issue number  5 
DOIs  
Publication status  Published  2 Feb 2007 
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Dive into the research topics of 'Dense colloidal suspensions under timedependent shear'. Together they form a unique fingerprint.Projects
 1 Finished

Edinburgh Soft Matter and Statistical Physics Group: Programme Grant
Cates, M., Ackland, G., Egelhaaf, S., Evans, M., Poon, W. & Pusey, P.
1/10/03 → 31/03/08
Project: Research