2003
DOI: 10.1103/physrevb.68.035415
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Fluxons and their interactions in a system of three stacked Josephson junctions

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 numeri… Show more

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Cited by 13 publications
(7 citation statements)
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References 46 publications
(76 reference statements)
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“…Because of repulsive interaction, it is believed to be hard to achieve in-phase motion of solitons in a stack of junctions, despite some simulations suggest that the solitons in high velocity have attractive interaction. [38,55] Here we investigate the radiation due to soliton motions in a single junction, which is equivalent to a stack of junctions if one realizes the in-phase motion of solitons in different junctions.…”
Section: State With Solitonsmentioning
confidence: 99%
“…Because of repulsive interaction, it is believed to be hard to achieve in-phase motion of solitons in a stack of junctions, despite some simulations suggest that the solitons in high velocity have attractive interaction. [38,55] Here we investigate the radiation due to soliton motions in a single junction, which is equivalent to a stack of junctions if one realizes the in-phase motion of solitons in different junctions.…”
Section: State With Solitonsmentioning
confidence: 99%
“…In this range, the fluxons are bunched. For the case of two junctions, this minimum would have been zero phase difference, but due to the asymmetry of the three-junction case, there is a small residual phase [11]. Fig.…”
Section: Numerical Calculationsmentioning
confidence: 96%
“…The mass M e accounts for the renormalization effect of both junction-cavity and magnetic induction interaction. The bare potential V (q) = V (q 1 , q 2 ) is given 33 by…”
Section: Coupled Long Josephson Junctions In Resonant Cavitymentioning
confidence: 99%
“…When E int ≫ E pin , the fluxons are not pinned at the microresistor sites but maintain a large separation distance. 33 However, when E int ≪ E pin , the one-fluxon tunneling processes are favored over the two-fluxon tunneling processes.…”
Section: Macroscopic Quantum Tunneling In Coupled Junctionsmentioning
confidence: 99%