Length/voltage phase diagram for a thin superconducting wire subjected to an applied voltage

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.