Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8254090 | Chaos, Solitons & Fractals | 2018 | 8 Pages |
Abstract
A long Josephson junction comprising regions with phase discontinuities driven by an external ac-drive is studied. An inhomogeneous sine-Gordon equation is used, that depicts the dynamics of long Josephson junctions with phase discontinuities. Perturbation technique along with asymptotic analysis and the method of averaging are applied to obtain an average dynamics in the form of double sine-Gordon equations for both small and large driving amplitudes. From the obtained average dynamics, it is determined that, the external ac-drive may affect the presence of the ground state of the junction. Specifically, the cases for 0âκ and 0âÏâ0 junctions are discussed. In the presence of an external ac-drive, the critical facet length bc is analyzed for 0âÏâ0 junction above which the ground state is non-uniform. The critical bias current γc for 0âκ junction is investigated, at which the junction switches to a resistive state. Further, the interaction of localized defect modes and the fast oscillating drive is studied for both 0âκ and 0âÏâ0 junctions, which is explained by using Lagrangian approach. Numerical simulations are performed to support our analytical calculations.
Keywords
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Zamin Gul, Amir Ali, Irshad Ahmad,