Voltage locking and other interactions in coupled superconducting weak links. I. Theory

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Abstract
A perturbation calculation is shown to give a satisfactory analytical description of the dc voltage characteristics of a coupled pair of superconducting weak links. In particular it predicts locking intervals over which the individual voltages of the junctions will either be equal or integer multiples of each other. Numerical simulations corroborate the perturbation approach and, as well, reveal the phenomenon of phase slippage between the junctions.