Campuses:

Physical systems

Thursday, May 28, 2015 - 4:30pm - 5:20pm
Kay Kirkpatrick (University of Illinois at Urbana-Champaign)
Near absolute zero, a gas of quantum particles can condense into an unusual state of matter, called Bose-Einstein condensation (BEC), that behaves like a giant quantum particle. The rigorous connection has recently been made between the physics of the microscopic many-body dynamics and the mathematics of the macroscopic model, the cubic nonlinear Schrodinger equation (NLS). I'll discuss progress with Gerard Ben Arous and Benjamin Schlein on a central limit theorem for the quantum many-body dynamics, a step towards large deviations for Bose-Einstein condensation.
Saturday, September 15, 2012 - 9:40am - 9:55am
Dmitry Golovaty (University of Akron)
The structure of a Ginzburg-Landau (GL) model originally introduced to model superconductivity can be extended to describe a variety of other physical phenomena that involve ordered systems. The GL theory is particularly useful for understanding the behavior of structural defects - the regions of disorder that appear, e.g., for topological reasons. In my talk, I will discuss a macroscopic level GL-type model that arises in continuum mechanics of carbon nanotubes. The focus will be on establishing a connection between the coarse-grained
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