Abstract
We analyze phase slip phenomena in one and two dimensional superconducting rings by solving the time-dependent Ginzburg-Landau equation. In the one dimensional case we show that the phase slipkinetics occurs simultaneously and consecutively depending on the dimensionless parameter u in the equation. In two dimensions there are two values ofcritical currents j c1 and j c2. When the local current is larger then j c1 the phase slip is similar to the one dimensional case.Kinetics is governed by kinematicvortices. When the local current exceeds j c2 value the vortex generation is governed by the Kibble-Zurek quench mechanism.
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Lu-Dac, M., Kabanov, V.V. (2011). Phase Slip Phenomena One and Two Dimensional Superconducting Ring. In: Bonca, J., Kruchinin, S. (eds) Physical Properties of Nanosystems. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0044-4_15
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