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THE INTERFACE BETWEEN THE NORMAL STATE AND THE FULLY SUPERCONDUCTING STATE IN THE PRESENCE OF AN ELECTRIC CURRENT

We consider the time-dependent Ginzburg–Landau equations, in the presence of electric current and the absence of magnetic field. We first study one-dimensional equilibrium solutions on a semi-infinite domain, describing a layer of transition from the normal state at one edge to the fully superconducting state at infinity. We find that the normal conductivity has a significant effect on the maximal current that can pass through such a transition layer. The global stability of the purely superconducting state in a finite domain is also considered, assuming zero potential drop between the conducting surfaces.