Theory

mb_bradley Nanoscale Pattern Formation Prof. R. Mark Bradley

Highly ordered nanoscale patterns can form spontaneously when a broad ion beam strikes the surface of a solid. Our group is using the powerful mathematical theory of pattern formation and computer simulations to explain how self-organization occurs in these nonlinear, far-from-equilibrium systems.

Chaos and Nonlinear Dynamics  Prof. Richard Eykholt

We have been developing and applying methods to effectively distinguish physical systems which are deterministic but chaotic from those which exhibit random behavior, based on analysis of experimental time series. The main focus of applications presently is to stream flows; we have also investigated weather and brain behavior.

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mg_gelfand Disorder, Correlations, Novel Materials  Prof. Martin Gelfand

Our main efforts are directed towards computational studies of equilibrium and near-equilibrium properties of simple models which are motivated by interesting materials or condensed-matter phenomena. Examples include superconductivity, quantum spin systems, quantum Hall effect, and alkali fullerides.