On the Ginzburg-Landau critical field in three dimensions

Details On the Ginzburg-Landau critical field in three dimensions On the Ginzburg-Landau critical field in three dimensions

2007-03-14

arxiv.org/abs/math-ph/0703047v1

Physics

Mathematical Physics

22 pages

Scientific paper

We study the three dimensional Ginzburg-Landau model of superconductivity. Several `natural' definitions of the (third) critical field, $H_{C_3}$, governing the transition from the superconducting state to the normal state, are considered. We analyze the relation between these fields and give conditions as to when they coincide. An interesting part of the analysis is the study of the monotonicity of the ground state energy of the Laplacian, with constant magnetic field and with Neumann (magnetic) boundary condition, in a domain $\Omega$. It is proved that the ground state energy is a strictly increasing function of the field strength for sufficiently large fields. As a consequence of our analysis we give an affirmative answer to a conjecture by Pan.

Affiliated with

Also associated with

No associations

Rating

On the Ginzburg-Landau critical field in three dimensions 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 On the Ginzburg-Landau critical field in three dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Ginzburg-Landau critical field in three dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-715890