Scaling and exact solutions for the flux creep problem in a slab superconductor

Details Scaling and exact solutions for the flux creep problem in a slab superconductor Scaling and exact solutions for the flux creep problem in a slab superconductor

2001-08-02

arxiv.org/abs/cond-mat/0108049v1

Phys. Rev. B 65, 184512 (2002)

Physics

Condensed Matter

Superconductivity

RevTex, 10 pages including 6 figures, submitted to Phys.Rev.B

Scientific paper

10.1103/PhysRevB.65.184512

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.

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