Theory of Dissipative Current-Carrying States in Superconducting Filaments

Abstract

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 $I\ensuremath{-}V$ curves observed in whiskers and microbridges.