Numerical investigation of the magnetic flux static distributions in layered josephson junctions

Authors

  • I Hristov
  • S Dimova
  • T Boyadjiev

DOI:

https://doi.org/10.1260/175095409788922266

Abstract

Effective numerical algorithms are worked out for solving the nolinear system of ODE for finding the static distributions of the magnetic flux in N-stacked JJs, as well as the corresponding matrix Sturm-Liouville problem for studying their global stability. The particular case of three stacked JJs is investigated. A correspondence is made between loss of stability of a possible static distribution of the magnetic flux, obtained by solving the static problem, and the switching to dynamic state obtained by solving the dynamic problem. In this work we show by means of numerical simulation that the transient process of switching from static to dynamic state in symmetric three stacked JJs depends on the way of exceeding the external current.

References

Goldobin E., Ustinov A.V., Current locking in magnetically coupled long Josephson junctions, Phys. Rev. B, 59 (17), 1999, 11532-11538. https://doi.org/10.1103/physrevb.59.11532

Sakai S., Bodin P., Pedersen N.F., Fluxons in thin-film superconductor-insulator super lattices, J. Appl. Phys., 73 (5), 1993, 2411-2418. https://doi.org/10.1063/1.353095

Licharev K.K., Dynamics of Josephson Junctions and Circuits, Gordon and Breach, New York, 1986.

Puzynin I.V. et al., Methods of computational physics for investigation of models of complex physical systems, Particles & Nuclei, 38 (1), 2007.

Bathe K.J., Wilson E., Numerical Methods in Finite Element Analysis, Prentice Hall, Englewood Cliffs, 1976.

Published

2009-09-30

How to Cite

Hristov, I., Dimova, S., & Boyadjiev, T. (2009). Numerical investigation of the magnetic flux static distributions in layered josephson junctions. The International Journal of Multiphysics, 3(3), 259-266. https://doi.org/10.1260/175095409788922266

Issue

Section

Articles