For more information about this meeting, contact Zhan Huang, Ke Han, Peter Gael.
| Title: | Ginzburg-Landau Model of Superconductivity with Prescribed Topological Degrees |
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| Seminar: | SIAM Student Chapter Seminar |
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| Speaker: | Oleksandr Misiats, Depatment of Mathematics, PSU |
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| Abstract: |
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| 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 |
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| Date: | 01 / 26 / 2012 |
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| Time: | 04:40pm - 05:30pm |
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