A simple generalized time-dependent Ginzburg-Landau equation valid for dirty superconductors in the vicinity of T c is derived. For thin homogeneous filaments it exhibits oscillatory phase-slip solutions below and above the critical depairing current. The results are compared with I-V curves observed in whiskers and microbridges.
General equations for the dynamic behavior of dirty superconductors in theGinzburg-Landau regime ITc-TI << T~ are derived from microscopic theory.In the immediate vicinity of Tc a local equilibrium approximation leads to a simple generalized time-dependent Ginzburg-Landau equation. The oscillatory phase-slip solutions presented previously are discussed in greater detail.
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