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Fluxons and their interactions in a system of three stacked Josephson junctions

C. Gorria, P. L. Christiansen, Yu. B. Gaididei, V. Muto, N. F. Pedersen, M. P. Soerensen

DOI 10.1103/PhysRevB.68.035415 · Physical Review B

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Abstract

Fluxon dynamics in a system of three coupled driven damped sine-Gordon equations is investigated. Bunching of fluxons is observed. It is shown that fluxon-fluxon-fluxon bound states exist in a certain interval of the fluxon velocity. Attraction between fluxons occurs as a result of indirect fluxon-fluxon interaction mediated by Swihart waves. To tackle the problem analytically a piece-wise linear approach is developed. The analytical approximations show good agreement with the results obtained by direct numerical simulations.

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