AC response of the vortex liquid in the high-T_c superconducting cylinder

The ac response of the vortex liquid of a high-T_c superconducting cylinder in the parallel field configuration is examined theoretically. The ac properties are analyzed from the associated complex ac permeability calculated on the basis of hydrodynamics theory. The permeability is primarily dominated by two frequency-dependent penetration lengths which are also shown to be independent of the geometries considered. In the simple flux-flow regime, the second peak in ac loss is observed to be enhanced while the first peak is depressed for the superconducting cylinder. In the viscous flux liquid, the ac response is found to rely on the viscosity, ratio of shear modulus to nonlocal compressional modulus, and the geometries discussed. The results indicate some basic difference in ac permeabilities between superconducting cylinder and slab.