A Molecular Hydrodynamic Theory of Supercooled Liquids and Colloidal Suspensions under Shear

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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5 pages, 1 figure

Scientific paper

10.1103/PhysRevE.66.050501

We extend the conventional mode-coupling theory of supercooled liquids to systems under stationary shear flow. Starting from generalized fluctuating hydrodynamics, a nonlinear equation for the intermediate scattering function is constructed. We evaluate the solution numerically for a model of a two dimensional colloidal suspension and find that the structural relaxation time decreases as $\dot{\gamma}^{-\nu}$ with an exponent $\nu \leq 1$, where $\dot{\gamma}$ is the shear rate. The results are in qualitative agreement with recent molecular dynamics simulations. We discuss the physical implications of the results.

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