Type of Publication:  Journal article 
URI (citable link):  http://nbnresolving.de/urn:nbn:de:bsz:352opus107331 
Author:  Fuchs, Matthias; Cates, Michael E. 
Year of publication:  2009 
Published in:  Journal of Rheology ; 53 (2009), 4.  pp. 9571000 
DOI (citable link):  https://dx.doi.org/10.1122/1.3119084 
Summary: 
A microscopic approach is presented for calculating general properties of interacting Brownian particles under steady shearing. We start from exact expressions for sheardependent steadystate averages, such as correlation and structure functions, in the form of generalized Green Kubo relations. To these we apply approximations inspired by the mode coupling theory (MCT) for the quiescent system, accessing steadystate properties by integration through the transient dynamics after startup of steady shear. Exact equations of motion, with memory effects, for the required transient density correlation functions are derived next; these can also be approximated within an MCTlike approach. This results in closed equations for the nonequilibrium stationary state of sheared dense colloidal dispersions, with the equilibrium structure factor of the unsheared system as the only input. In three dimensions, these equations currently require further approximation prior to numerical solution. However, some universal aspects can be analyzed exactly, including the discontinuous onset of a yield stress at the ideal glass transition predicted by MCT. Using these methods we additionally discuss the distorted microstructure of a sheared hardsphere colloid near the glass transition, and consider how this relates to the shear stress. Timedependent fluctuations around the stationary state are then approximated and compared to data from experiment and simulation; the correlators for yielding glassy states obey a timeshearsuperposition principle. The work presented here fully develops an approach first outlined previously [Fuchs and Cates, Phys. Rev. Lett. 89, 248304 (2002)], while incorporating a significant technical change from that work in the choice of mode coupling approximation used, whose advantages are discussed.

Subject (DDC):  530 Physics 
Link to License:  In Copyright 
Bibliography of Konstanz:  Yes 
FUCHS, Matthias, Michael E. CATES, 2009. A mode coupling theory for Brownian particles in homogeneous steady shear flow. In: Journal of Rheology. 53(4), pp. 9571000. Available under: doi: 10.1122/1.3119084
@article{Fuchs2009coupl4962, title={A mode coupling theory for Brownian particles in homogeneous steady shear flow}, year={2009}, doi={10.1122/1.3119084}, number={4}, volume={53}, journal={Journal of Rheology}, pages={9571000}, author={Fuchs, Matthias and Cates, Michael E.} }
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