Magnetic flux shock wave and hydrodynamic dendritic instability in type-II superconducting film

Non-equilibrium flux penetration into the Meissner state in type-II superconducting film is studied. Effects of heat dissipation and transport on the motion and stability of the interface between the magnetic flux and flux-free domains are considered. It is shown that the magnetic induction and temperature, form shock wave with a narrow normal front moving with a constant velocity. It is shown that tangential instability is responsible for a crush of the shock wave front. For a sufficiently small heat diffusion constant, a ultrafast dendrite-shaped magnetic flux structure is predicted, while for large thermal diffusion the shock wave front is found to be stable. We conclude that the heat ballistic transport rather than magnetic non-locality in the film plays the essential role in the shock wave front properties. The dendritic velocity increases along with a reciprocal thickness of the film.