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Applied Mathematics Colloquium

Tuesday, October 23, 2012 - 2:45pm - 3:45pm
Columbia University, Morningside Campus, Room 214 S.W. Mudd

Lou Kondic
Department of Mathematical Sciences, New Jersey Institute of Technology

"Particulate Matter: from wave propagation to force networks"

In the first part of this talk, we will discuss computational results regarding response of a dense granular system to externally imposed perturbations, including impact and shear.  In particular, we will concentrate on the role of the lengthscale introduced by the perturbations, on the differences in the propagation mechanisms between jammed and unjammed granular systems, and on perspectives regarding application of continuum models to this problem.

Realizing that particle scale properties may often play an important role, in the second part of the talk we will discuss our attempts to characterize force networks in these systems. These attempts are based on application of percolation theory and of the tools of algebraic topology to analyze and quantify static and dynamic features of force network structure. These techniques have already allowed to identify the influence of material parameters on force networks for a variety of system properties.

Host: Guillaume Bal