1 research outputs found
Ginzburg-Landau model of a Stiffnessometer -- a superconducting stiffness meter device
We study the Ginzburg-Landau equations of super-conductivity describing the
experimental setup of a Stiffnessometer device. In particular, we consider the
nonlinear regime which reveals the impact of the superconductive critical
current on the Stiffnessometer signal. As expected, we find that at high flux
regimes, superconductivity is destroyed in parts of the superconductive regime.
Surprisingly, however, we find that the superconductivity does not gradually
decay to zero as flux increases, but rather the branch of solutions undergoes
branch folding. We use asymptotic analysis to characterize the solutions at the
numerous parameter regimes in which they exist. An immediate application of the
work is an extension of the regime in which experimental measurements of the
Stiffnessometer device can be interpreted.Comment: 27 pages, 17 figure