Theory of activated-rate processes under shear with application to shear-induced aggregation of colloids

Details Theory of activated-rate processes under shear with application to shear-induced aggregation of colloids Theory of activated-rate processes under shear with application to shear-induced aggregation of colloids

2009-06-26

arxiv.org/abs/0906.4879v2

Physical Review E 80, 051404 (2009)

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevE.80.051404

Using a novel approximation scheme within the convective diffusion (two body Smoluchowski) equation framework, we unveil the shear-driven aggregation mechanism at the origin of structure-formation in sheared colloidal systems. The theory, verified against numerics and experiments, explains the induction time followed by explosive (irreversible) rise of viscosity observed in charge-stabilized colloidal and protein systems under steady shear. The Arrhenius-type equation with shear derived here, extending Kramers theory in the presence of shear, is the first analytical result clearly showing the important role of shear-drive in activated-rate processes as they are encountered in soft condensed matter.

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