Critical state magnetostriction of type-II superconductors under viscous flux flow

Abstract

Abstract We have studied theoretically the influence of the viscous flux flow on the magnetostriction for the infinite slab of type-II superconductors employing critical state model. The critical current density is chosen to be dependent on the magnetic field according to the Anderson–Kim and exponential models. The magnetostriction Δ L / L is calculated for different frequencies resulting in different viscous effects. For the field dependent critical current densities J c ( B ), we found that the presence of the viscous flux flow in the high frequencies can considerably enhance the scale of the magnetostriction curves and also alter their shape.