We study the nonlinear response of vortices in thin-film superconductors to strong electric fields. In the region of small magnetic fields we find unstable regions of negative differential conductivity. The voltage along the film is therfore predicted to jump from a lower flux-flow value to a higher normal-state value when the transport current is increased beyond the maximum value the flux-flow state can support.
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Thompson et al. (1973) studied this question.
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