Length/voltage phase diagram for a thin superconducting wire subjected to an applied voltage |
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Authors: | Junghwa Kim Jacob Rubinstein Peter Sternberg |
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Affiliation: | 1. Department of Mathematics, Indiana University, Bloomington, IN 47405, USA;2. Department of Mathematics, Technion, I.I.T., Haifa 32000, Israel |
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Abstract: | A thin superconducting wire (bridge) subjected to a voltage gradient is studied via the time-dependent Ginzburg-Landau system under bridge geometry boundary conditions. Our numerical experiments reveal a rich array of phase slip center behavior, period-doubling, period-tripling and quasi-periodic solutions. We show that the parameter plane (L, V), where 2L = wire length, V = voltage, is partitioned into regimes, where the solutions exhibit different periodicity. In particular we find that when L is below a certain critical value, the system always evolves to a state that has the basic Josephson period P = 2π/V. |
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