Abstract.
We derive and review a new long wave model describing the electro-dynamics of point Josephson junctions in a superconducting cavity. It consists in a wave equation with Dirac delta function sine nonlinearities. This model allows a detailed and integrated description of the device that was not available up to now. In the static case, a remarkable agreement was obtained with experiments. For the dynamical behavior, three different solutions are identified: the ohmic mode, the junction mode and a dissipative kink. These have distinct signatures in the current voltage characteristics making them easy to identify in experiments.
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Caputo, JG., Loukitch, L. A system with distributed nonlinearities: The array of Josephson junctions. Eur. Phys. J. Spec. Top. 147, 95–112 (2007). https://doi.org/10.1140/epjst/e2007-00204-x
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DOI: https://doi.org/10.1140/epjst/e2007-00204-x