Physics – Condensed Matter – Superconductivity
Scientific paper
2001-06-05
Physics
Condensed Matter
Superconductivity
27 pages, 10 figures
Scientific paper
10.1016/S0167-2789(01)00356-6
We investigate the interface coupling between the 2D sine-Gordon equation and the 2D wave equation in the context of a Josephson window junction using a finite volume numerical method and soliton perturbation theory. The geometry of the domain as well as the electrical coupling parameters are considered. When the linear region is located at each end of the nonlinear domain, we derive an effective 1D model, and using soliton perturbation theory, compute the fixed points that can trap either a kink or antikink at an interface between two sine-Gordon media. This approximate analysis is validated by comparing with the solution of the partial differential equation and describes kink motion in the 1D window junction. Using this, we analyze steady state kink motion and derive values for the average speed in the 1D and 2D systems. Finally we show how geometry and the coupling parameters can destabilize kink motion.
Benabdallah Assia
Caputo Jean-Guy
Flytzanis N.
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