Scaling and exact solutions for the flux creep problem in a slab superconductor
Abstract
The flux creep problem for a superconductor slab placed in a constant or time-dependent magnetic field is considered. Logarithmic dependence of the activation energy on the current density is assumed, U=U0 ln(J/Jc), with a field dependent Jc. The density B of the magnetic flux penetrating into the superconductor, is shown to obey a scaling law, i.e., the profiles B(x) at different times can be scaled to a function of a single variable. We found exact solution for the scaling function in some specific cases, and an approximate solution for a general case. The scaling also holds for a slab carrying transport current I resulting in a power-law V(I) with exponent p~1. When the flux fronts moving from two sides of the slab collapse at the center, the scaling is broken and p crosses over to U0/kT.
Cite
@article{arxiv.cond-mat/0108049,
title = {Scaling and exact solutions for the flux creep problem in a slab superconductor},
author = {D. V. Shantsev and Y. M. Galperin and T. H. Johansen},
journal= {arXiv preprint arXiv:cond-mat/0108049},
year = {2009}
}
Comments
RevTex, 10 pages including 6 figures, submitted to Phys.Rev.B