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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Colloquium
Daniel Spirn
University of Minnesota
Title: Hydrodynamic limits in Ginzburg-Landau theory

Abstract: Ginzburg-Landau theory refers collectively to models with a complex-valued order parameter, and it arises in many problems from condensed matter physics, including superconductivity, superfluids, and Bose-Einstein condensates, along with models for micromagnetics and pattern formation. One distinguishing feature of the theory is the formation of vortices, localized regions where the modulus vanishes and about which the order-parameter has a quantized Jacobian.

The dynamical behavior of finite numbers of vortices has been studied over the past 15 years and is well understood in many contexts. On the other hand, the behavior of these theories when there are infinite numbers vortices is only starting to be studied. This regime is important as typical Type II superconductors can have enormous numbers of vortices. I will discuss some recent results with M. Kurzke and R. Jerrard regarding limiting mean field equations that arise in these regimes.

Recording: http://mm.math.cmu.edu/recordings/cna/daniel_spirn_small.mp4
Date: Tuesday, November 17, 2015
Time: 4:30 pm
Location: Wean Hall 7218
Submitted by:  David Kinderlehrer
Note: Tea at 4:00 pm.