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

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 ${\dot{\gamma }}^{-\nu }$ with an exponent $\nu \le 1$, 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.

arXiv comment5 pages, 1 figure

References in corpus (4)

• Dynamics of Highly Supercooled Liquids:Heterogeneity, Rheology, and Diffusion
• Nonequilibrium dynamics and fluctuation-dissipation relation in a sheared fluid
• Two-time scales, two-temperature scenario for nonlinear rheology
• Dynamics and Rheology of a Supercooled Polymer Melt in Shear Flow

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