Dynamics of point Josephson junctions in a microstrip line

Details Dynamics of point Josephson junctions in a microstrip line Dynamics of point Josephson junctions in a microstrip line

2010-04-03

arxiv.org/abs/1004.0409v1

Physics

Condensed Matter

Superconductivity

Scientific paper

We analyze a new long wave model describing the electrodynamics of an array of point Josephson junctions in a superconducting cavity. It consists in a wave equation with Dirac delta function sine nonlinearities. We introduce an adapted spectral problem whose spectrum gives the resonances in the current-voltage characteristic curve of any array. Using the associated inner product and eigenmodes, we establish that at the resonances the solution is described by two simple ordinary differential equations.

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