Thermal state of superconducting films on wide substrates

Abstract

The stationary thermal state and propagation of a normal zone in a long superconducting film on a wide substrate are analyzed analytically. Expressions describing voltage-current characteristics and temperature-current dependence of the film are derived for the flux creep, flux flow and normal regions. It is shown how the flux creep influences the conditions of the thermal stability. In particular, it is found that the bistability of the thermal state can appear in this regime. Under the boiling crisis, the temperature-current dependence for a film differs markedly from that for a wire and is characterized by a smooth temperature increase with the current. A "mixed" regime is analyzed where the flux flow and normal states exist simultaneously with the boundary between them parallel to the film axis. Expressions for the propagation velocity of a normal zone along a narrow film are obtained which show that this velocity in films is sufficiently higher than in wires.