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

Carlos Corria; Peter Leth Christiansen; Yuri Borisovich Gaididei; Virginia Muto; Niels Falsig Pedersen; Mads Peter Sørensen

doi:10.1103/PhysRevB.68.035415

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

Carlos Corria, Peter Leth Christiansen, Yuri Borisovich Gaididei, Virginia Muto, Niels Falsig Pedersen, Mads Peter Sørensen

University of the Basque Country

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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.

Original language	English
Journal	Physical Review B Condensed Matter
Volume	68
Issue number	3
Pages (from-to)	035415
ISSN	0163-1829
DOIs	https://doi.org/10.1103/PhysRevB.68.035415
Publication status	Published - 2003

Bibliographical note

Copyright (2003) American Physical Society.

Keywords

BUNCHED FLUXONS
SURFACE LOSSES
Josephson junctions
SINGLE-CRYSTALS
ANALYTIC SOLUTION
CHERENKOV RADIATION
PHASE-LOCKING
SINE-GORDON SYSTEMS
SOLITONS
DYNAMICS
FLOW OSCILLATORS

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10.1103/PhysRevB.68.035415

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title = "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 numerical simulations.",

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author = "Carlos Corria and Christiansen, \{Peter Leth\} and Gaididei, \{Yuri Borisovich\} and Virginia Muto and Pedersen, \{Niels Falsig\} and S{\o}rensen, \{Mads Peter\}",

note = "Copyright (2003) American Physical Society.",

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T1 - Fluxons and their interactions in a system of three stacked Josephson junctions

AU - Corria, Carlos

AU - Christiansen, Peter Leth

AU - Gaididei, Yuri Borisovich

AU - Muto, Virginia

AU - Pedersen, Niels Falsig

AU - Sørensen, Mads Peter

N1 - Copyright (2003) American Physical Society.

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N2 - 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.

AB - 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.

KW - BUNCHED FLUXONS

KW - SURFACE LOSSES

KW - Josephson junctions

KW - SINGLE-CRYSTALS

KW - ANALYTIC SOLUTION

KW - CHERENKOV RADIATION

KW - PHASE-LOCKING

KW - SINE-GORDON SYSTEMS

KW - SOLITONS

KW - DYNAMICS

KW - FLOW OSCILLATORS

U2 - 10.1103/PhysRevB.68.035415

DO - 10.1103/PhysRevB.68.035415

M3 - Journal article

SN - 0163-1829

VL - 68

SP - 035415

JO - Physical Review B Condensed Matter

JF - Physical Review B Condensed Matter

IS - 3

ER -