Session S30 - Mathematical Methods in Quantum Mechanics

Monday, July 19, 19:00 ~ 19:25 UTC-3

Vortex lines in the 3D Ginzburg-Landau model of superconductivity

Carlos Román

Pontificia Universidad Católica de Chile, Chile   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

The Ginzburg-Landau model is a phenomenological description of superconductivity. A crucial feature is the occurrence of vortex lines, which appear above a certain value of the strength of the applied magnetic field called the first critical field. In this talk I will present a sharp estimate of this value and describe the behavior of global minimizers for the 3D Ginzburg-Landau functional below and near it.

Joint work with Etienne Sandier (Paris-Est-Créteil University, France) and Sylvia Serfaty (New York University, United States).

View abstract PDF