PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Zhan Huang.

Title:Ginzburg-Landau Model of Superconductivity with Prescribed Topological Degrees
Seminar:SIAM Student Chapter Seminar
Speaker:Oleksandr Misiats, Depatment of Mathematics, PSU
Abstract:
Superconductivity is a complete loss of resistivity that occurs in most metals below a certain critical temperature. The key feature of this physical phenomenon is the vortices, or the points where the external magnetic field penetrates the bulk of a superconductor, thus destroying superconductivity. We model the superconducting vortices using the Ginzburg-Landau functional with a specific (degree) boundary condition that creates the same "quantized" vortices as the external magnetic field. The talk will discuss the issue of well-posedness of such modelling, which reduces to the question of the existence of minimizers for a Ginzburg-Landau functional in certain functional classes.It will also describe the vortex structure of the Ginzburg-Landau minimizers, which may be useful in predicting the locations of the vortices depending on the geometry of a superconductor.

Room Reservation Information

Room Number:MB106
Date:01 / 26 / 2012
Time:04:40pm - 05:30pm