Magnetic flux penetration into superconductor for vortex liquid-vortex glass modes

Magnetic flux penetration into a half-space occupied by type-II superconductors occurring in a vortex-liquid or vortex-glass state is considered under the assumption that magnetic field exhibits a sharp increase with time in the blow-up regime at the interface. It is shown that each phase admits effective localization of magnetic flux in the form of a magnetic wave front, which is stopped at a depth of x∝e-σσ in a vortex-liquid regime and at x∝(2σ)1/(σ+2) in a vortex-glass regime. Here, the parameter σ = U0/T depends on the thermal activation barrier height U0 and on the temperature T in the vicinity of the melting curve Tn(B), where B is magnetic field induction