Dynamics of point Josephson junctions in a microstrip line
Superconductivity
2010-04-06 v1 Pattern Formation and Solitons
Abstract
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.
Cite
@article{arxiv.1004.0409,
title = {Dynamics of point Josephson junctions in a microstrip line},
author = {J. -G. Caputo and L. Loukitch},
journal= {arXiv preprint arXiv:1004.0409},
year = {2010}
}