Dense Colloidal Suspensions under Time-Dependent Shear

by: JM Brader, Th, ME Cates, M Fuchs

Physical Review Letters, Vol. 98, No. 5. (2007)

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Résumé

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.

@article{citeulike:2799100, 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.}, author = {Brader, J. M. and Th and Cates, M. E. and Fuchs, M. }, citeulike-article-id = {2799100}, doi = {10.1103/PhysRevLett.98.058301}, journal = {Physical Review Letters}, keywords = {colloids, shear, theory}, number = {5}, posted-at = {2008-05-14 16:03:16}, priority = {2}, publisher = {APS}, title = {Dense Colloidal Suspensions under Time-Dependent Shear}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=PRLTAO000098000005058301000001\&idtype=cvips\&gifs=yes}, volume = {98}, year = {2007} }

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TY - JOUR ID - citeulike:2799100 L3 - citeulike-article-id:2799100 TI - Dense Colloidal Suspensions under Time-Dependent Shear JF - Physical Review Letters VL - 98 IS - 5 PB - APS N2 - 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. KW - colloids KW - shear KW - theory AU - Brader, JM AU - Th AU - Cates, ME AU - Fuchs, M PY - 2007/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000098000005058301000001&idtype=cvips&gifs=yes ER -

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