Inverse ac Josephson Effect for a Fluxon in a Long Modulated Junction

Abstract

We analyze motion of a fluxon in a weakly damped ac-driven long Josephson junction with a periodically modulated maximum Josephson current density. We demonstrate both analytically and numerically that a pure {\it ac} bias current can drive the fluxon at a {\it resonant} mean velocity determined by the driving frequency and the spatial period of the modulation, provided that the drive amplitude exceeds a certain threshold value. In the range of strongly ``relativistic'' mean velocities, the agreement between results of a numerical solution of the effective (ODE) fluxon equation of motion and analytical results obtained by means of the harmonic-balance analysis is fairly good; morever, a preliminary PDE result tends to confirm the validity of the collective-coordinate (PDE-ODE) reduction. At nonrelativistic mean velocities, the basin of attraction, in position-velocity space, for phase-locked solutions becomes progressively smaller as the mean velocity is decreased.

15 pages, 26 kbytes, of text in plain LaTeX. A uuencoded, Z-compressed tar archive, 21 kbytes, containing 3 PostScript, [email protected], [email protected], [email protected]

References in corpus (2)

• Kink stability, propagation, and length scale competition in the periodically modulated sine-Gordon equation
• Threshold Analysis for the Inverse ac Josephson Effect

Cited by in corpus (9)

• Ratchet-like dynamics of fluxons in annular Josephson junctions driven by bi-harmonic microwave fields
• Soliton ratchets induced by ac forces with harmonic mixing
• Observation of progressive motion of ac-driven solitons
• Motion of discrete solitons assisted by nonlinearity management
• The ac-Driven Motion of Dislocations in a Weakly Damped Frenkel-Kontorova Lattice
• Progressive motion of an ac-driven kink in an annular damped system
• Noise-induced dephasing of an ac-driven Josephson junction
• Use of a spoof plasmon to optimize the coupling of infrared radiation to Josephson Junction fluxon oscillations
• Moving and colliding pulses in the subcritical Ginzburg-Landau model with a standing-wave drive