Figure 1

Imaginary part of the conductivity giving nondissipative currents: thin lines are the superconducting condensate conductivity $\text{Im}{\sigma }_s$ (dotted), the TDGL conductivity $\text{Im}{\sigma }_{\text{GL}}$ (full), and the two-fluid modification of the TDGL conductivity $\text{Im}{\sigma }_{\text{tf}}$ (dashed). The heavy line is the conductivity $\text{Im}{\sigma }_{\text{fk}}$ evaluated in the floating system. Experimental data of Ikebe et al. (Ref. 6) at 7 T (•) are in the nominal validity range of the TDGL theory, while the lower magnetic fields 5 T, 3 T, and 1 T (○) are not.Reuse & Permissions

Figure 2

Heat production (left) and the power absorption (right) in the hexagonal Abrikosov vortex lattice: crosses denote centers of vortices. The electric field is polarized vertically so that vortices oscillate horizontally with amplitude shown by arrows. The Joule heat is produced at vortex cores, their horizontal motion is responsible for elongation of the heated region. Absorption of power is rather delocalized. Its maxima are also around vortex cores but elongated vertically. The rounded minima are between vortices. Difference of these two maps shows that the “rigid” GL function transfers the power to be dissipated in cores.Reuse & Permissions

Figure 3

Real part of the conductivity giving Joule heat: points are experimental data of Ikebe et al. (Ref. 6) for 7 T (•). The superconducting condensate contribution (dotted line) given by formula (3) is by an order of magnitude too small. The time-dependent Ginzburg-Landau theory (thin line) adds a contribution of normal electrons, see Eq. (5), arriving at too high values. The two-fluid approach (dashed line) reduces the conductivity subtracting double-counted condensed electrons from the normal conductivity, see Eq. (7). The floating kernel approach (heavy line) given by Eq. (11) removes double-counting from the supercurrents and yields the closest agreement with experiment.Reuse & Permissions

Figure 4

Real part of the conductivity giving the Joule heat: points are experimental data of Ikebe et al. (Ref. 6) for 7 T (•), 5 T (○), 3 T (◻), and 1 T (△). The time-dependent Ginzburg-Landau theory (thin line) given by Eq. (5) overestimates the dissipation. The two-fluid approach given by Eq. (7) reduces the dissipation too much leading to the underestimate. The floating kernel approach (heavy line) given by Eq. (11) yields higher values although still smaller than experimental data.Reuse & Permissions