@article{f1637f506bc34394b371a419df744e6a, title = "Dense colloidal suspensions under time-dependent shear", 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 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.", author = "Brader, {J. M.} and Th. Voigtmann and Cates, {M. E.} and M. Fuchs", year = "2007", month = "2", day = "2", doi = "10.1103/PhysRevLett.98.058301", language = "English", volume = "98", pages = "--", journal = "Physical Review Letters", issn = "0031-9007", publisher = "American Physical Society", number = "5", }