Physics Colloquium, MIT March 3, 2005 Title: Dynamics of Random Packings in Granular Flow Speaker: Martin Z. Bazant Associate Professor of Applied Mathematics MIT Abstract: The geometry of static sphere packings is an age-old problem, but how do random packings flow? This question is at the heart of condensed matter physics for liquids, glasses, and granular materials, and yet it remains poorly understood at the microscopic level. Here, we consider the case of granular drainage (e.g. sand in an hourglass) and test the hypothesis that particles rearrange cooperatively, in response to diffusing ``spots'' of free volume. We find that spot-based simulations with only five fitting parameters can accurately reproduce packing dynamics in discrete-element simulations with 200,000 spherical, frictional, visco-elastic grains. The spot simulations run over 100 times faster and demonstrate the possibility of multiscale modeling for amorphous materials.