Time dependent London approach, dissipation due to out-of-core normal excitations by moving vortices

Abstract

The dissipative currents due to normal excitations are included in the London description. The resulting time dependent London equations are solved for a moving vortex and a moving vortex lattice. It is shown that the field distribution of a moving vortex looses it cylindrical symmetry, it experiences contraction which is stronger in the direction of the motion, than in the direction normal to the velocity $\mathbf{v}$. The London contribution of normal currents to dissipation is small relative to the Bardeen-Stephen core dissipation at small velocities, but approaches the latter at high velocities, where this contribution is no longer proportional to $v^2$. To minimize the London contribution to dissipation, the vortex lattice orients as to have one of the unit cell vectors along the velocity, the effect seen in experiments and predicted within the time-dependent Ginzburg-Landau theory.

6 pages, 5 figures

References in corpus (2)

• Imaging of super-fast dynamics and flow instabilities of superconducting vortices
• Vortex creep at very low temperatures in single crystals of the extreme type-II superconductor Rh${}_9$In${}_4$S${}_4$

Cited by in corpus (12)

• Local flux-flow instability in superconducting films near Tc
• Reduction of microwave loss by mobile fluxons in grooved Nb films
• Interaction between moving Abrikosov vortices in type-II superconductors
• Fast Dynamics of Vortices in Superconductors
• Current distributions by moving vortices in superconductors
• Low frequency imaginary impedance at the superconducting transition of 2H-NbSe${}_2$
• Dissipation of moving vortices in thin films
• Anisotropic time-dependent London approach
• Moving vortices in anisotropic superconductors
• Energy conservation and reversibility during thermodynamic changes of state in superconductors: Joule heat vs. magnetocaloric cooling
• Moving Pearl vortices in thin-film superconductors
• Elastic fields in superconductors caused by moving vortices