Simulation of the resistive state of superconducting films in a magnetic field on the basis of the nonstationary Ginzburg-Landau equation

By numerical simulation of the temporal two-dimensional Ginzburg-Landau equation, we study the resistive state in superconducting bridges with dimensions ξ d λ. It is found that the basis of the resistive state here is, as for d λ, the vortical structures (vortices) whose motion defines the resistive state. It is shown that the motion of vortices is stochastic in a certain range of currents and magnetic fields. We give a classification of possible dynamic and stochastic modes and examine the transitions from the current flow mode, which is observed for large magnetic fields and small transport currents, to the mode of fast phase slippage. The symmetry breaking effect of the resistive state, which results in cross tension with a quadrupole structure, has been detected.[PUBLICATION ABSTRACT]