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

Kunimasa Miyazaki·David R. Reichman
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Abstract

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 $\dotγ^{-ν}$ with an exponent $ν\leq 1$, where $\dotγ$ 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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Kunimasa Miyazaki, David R. Reichman. 2003-04-08. A Molecular Hydrodynamic Theory of Supercooled Liquids and Colloidal Suspensions under Shear. https://doi.org/10.1103/physreve.66.050501

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