Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-05-03
Phys. Rev. B 75, 184522 (2007)
Physics
Condensed Matter
Statistical Mechanics
contains new sections that deal with phase slips
Scientific paper
10.1103/PhysRevB.75.184522
Many analyses based on the time-dependent Ginzburg--Landau model are not consistent with statistical mechanics, because thermal fluctuations are not taken correctly into account. We use the fluctuation-dissipation theorem in order to establish the appropriate size of the Langevin terms, and thus ensure the required consistency. Fluctuations of the electromagnetic potential are essential, even when we evaluate quantities that do not depend directly on it. Our method can be cast in gauge-invariant form. We perform numerous tests, and all the results are in agreement with statistical mechanics. We apply our method to evaluate paraconductivity of a superconducting wire. The Aslamazov--Larkin result is recovered as a limiting situation. Our method is numerically stable and the nonlinear term is easily included. We attempt a comparison between our numerical results and the available experimental data. Within an appropriate range of currents, phase slips occur, but we found no evidence for thermally activated phase slips. We studied the behavior of a moderate constriction. A constriction pins and enhances the occurrence of phase slips.
No associations
LandOfFree
Ginzburg-Landau equations with consistent Langevin terms for nonuniform wires 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 Ginzburg-Landau equations with consistent Langevin terms for nonuniform wires, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ginzburg-Landau equations with consistent Langevin terms for nonuniform wires will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-307194