Vortex density models for superconductivity and superfluidity

Details Vortex density models for superconductivity and superfluidity Vortex density models for superconductivity and superfluidity

2011-12-01

arxiv.org/abs/1112.0293v2

Physics

Mathematical Physics

34 pages

Scientific paper

We study some functionals that describe the density of vortex lines in superconductors subject to an applied magnetic field, and in Bose-Einstein condensates subject to rotational forcing, in quite general domains in 3 dimensions. These functionals are derived from more basic models via Gamma-convergence, here and in a companion paper. In our main results, we use these functionals to obtain descriptions of the critical applied magnetic field (for superconductors) and forcing (for Bose-Einstein), above which ground states exhibit nontrivial vorticity, as well as a characterization of the vortex density in terms of a non local vector-valued generalization of the classical obstacle problem.

Affiliated with

Also associated with

No associations

Rating

Vortex density models for superconductivity and superfluidity 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 Vortex density models for superconductivity and superfluidity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vortex density models for superconductivity and superfluidity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-139153