Abstract:
We investigate the dynamical properties of an exponentially tapered Josephson junction using a simple one-dimensional model described by a perturbed (nearly integrable) sine-Gordon equation. An approximate analytic solution is based on the linearization about a rapidly oscillating background. We compare the analytic results with direct numerical simulations for the magnetic field patterns in the junction.
This publication is cited in the following 5 articles:
De Angelis M., “A Wave Equation Perturbed By Viscous Terms: Fast and Slow Times Diffusion Effects in a Neumann Problem”, Ric. Mat., 68:1 (2019), 237–252
De Angelis M., “On the Transition From Parabolicity to Hyperbolicity For a Nonlinear Equation Under Neumann Boundary Conditions”, Meccanica, 53:15 (2018), 3651–3659
De Angelis M., Fiore G., “Diffusion Effects in a Superconductive Model”, Commun. Pure Appl. Anal, 13:1 (2014), 217–223
De Angelis M., Renno P., “On Asymptotic Effects of Boundary Perturbations in Exponentially Shaped Josephson Junctions”, Acta Appl. Math., 132:1, SI (2014), 251–259
De Angelis M., “On Exponentially Shaped Josephson Junctions”, Acta Appl. Math., 122:1, SI (2012), 179–189