Abstract
When a fluid is confined between two molecularly smooth surfaces separated by a
few molecular layers, it shows an apparent shear viscosity over a million times
its macroscopic value and strong shear thinning at remarkably low shear rates.
We extend the mode-coupling theory of the viscosity of dense liquids to this
case of strong confinement, thus offering a tentative explanation of the growth
of viscosity and how it grows as the separation between the surfaces is decreased, and making
additional predictions. An important, purely phenomenological, input to our
theory is the assumption that confinement makes the bare viscosity tensor of
the fluid uniaxial.
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