Flux Dynamics and Current Diffusion in High Temperature Superconductors, HTSC.

We consider flux dynamics and current diffusion in HTSC in terms of numerical solutions to non-linear diffusion equations for various E(J,B) characteristics. At short times, the problem is dominated by a transient solution describing the diffusion of flux into the body of the superconductor, while at long times a steady state solution is obtained that is independent of the initial conditions. In this limit the essential physics can be described by the transient response of an inductive ring with a non-linear resistance.