Abstract
The velocity probability distribution function (PDF) of sheared non-Brownian
hard-sphere suspensions can show a pronounced deviation from a Gaussian with
the tails of the distribution being higher than expected. We investigate such
suspensions by means of coupled Molecular Dynamics and lattice Boltzmann
simulations and demonstrate that the PDF can be fitted by a Gaussian for very
low velocities, but shows exponential behavior over more than six orders of
magnitude of probability for higher particle velocities. Further, we show that
the PDFs scale with the shear rate as well as the particle volume
concentration. In contrast to results published by other authors, we do not
find any transition from Gaussian to exponential tails by varying the particle
volume concentration, but demonstrate that such transitions can be due to
insufficient statistics.
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