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Fluxon Centering in Josephson Junctions with Exponentially Varying Width

Published online by Cambridge University Press:  28 May 2015

E. G. Semerdjieva*
Paisii Hilendarski University of Plovdiv, 24 Tsar Assen str., 4000 Plovdiv, Bulgaria
M. D. Todorov*
Department of Applied Mathematics and Computer Science, Technical University of Sofia, 8 Kliment Ohridski Blvd., 1000 Sofia, Bulgaria
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Nonlinear eigenvalue problems for fluxons in long Josephson junctions with exponentially varying width are treated. Appropriate algorithms are created and realized numerically. The results obtained concern the stability of the fluxons, the centering both magnetic field and current for the magnetic flux quanta in the Josephson junction as well as the ascertaining of the impact of the geometric and physical parameters on these quantities. Each static solution of the nonlinear boundary-value problem is identified as stable or unstable in dependence on the eigenvalues of associated Sturm-Liouville problem. The above compound problem is linearized and solved by using of the reliable Continuous analogue of Newton method.

Research Article
Copyright © Global-Science Press 2012

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