Hydrodynamic limit of vortices in Ginzburg-Landau theory

PDE Seminar
Tuesday, September 30, 2014 - 15:00
1 hour (actually 50 minutes)
Skiles 006
University of Minnesota
Vortices arise in many problems in condensed matter physics, including superconductivity, superfluids, and Bose-Einstein condensates.  I will discuss some results on the behavior of two of these systems when there are asymptotically large numbers of vortices.  The methods involve suitable renormalization of the energies both at the vortex cores and at infinity, along with a renormalization of the vortex density function.