Abstract
Using the generalized time-dependent Ginzburg-Landau equations for dirty superconductors in local equilibrium, we determine the stability limits of the homogeneous superconducting state in high-frequency, current-carrying filaments. For weak pair-breaking by inelastic scattering, the instability sets in when the gap is depressed by the current to the universal ratio (2/3)1/2. In the unstable region (and beyond it) there exist stable ac phase-slip solutions. In appropriate ranges of frequency and temperature, they exhibit complex time behavior with period-doubling and intermittency-type transition to chaos.
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Rangel, R., Kramer, L. Theory of periodically driven, current-carrying superconducting filaments. II. Stability limits of the homogeneous state. Periodic and chaotic phase-slip states. J Low Temp Phys 74, 163–183 (1989). https://doi.org/10.1007/BF00683370
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DOI: https://doi.org/10.1007/BF00683370