Nucleation of bulk superconductivity close to critical magnetic field

Details Nucleation of bulk superconductivity close to critical magnetic field Nucleation of bulk superconductivity close to critical magnetic field

2009-09-30

arxiv.org/abs/0909.5451v1

Physics

Mathematical Physics

Scientific paper

We consider the two-dimensional Ginzburg-Landau functional with constant applied magnetic field. For applied magnetic fields close to the second critical field $H_{C_2}$ and large Ginzburg-Landau parameter, we provide leading order estimates on the energy of minimizing configurations. We obtain a fine threshold value of the applied magnetic field for which bulk superconductivity contributes to the leading order of the energy. Furthermore, the energy of the bulk is related to that of the Abrikosov problem in a periodic lattice. A key ingredient of the proof is a novel $L^\infty$-bound which is of independent interest.

Affiliated with

Also associated with

No associations

Rating

Nucleation of bulk superconductivity close to critical magnetic field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nucleation of bulk superconductivity close to critical magnetic field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nucleation of bulk superconductivity close to critical magnetic field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-587864