Progressive motion of an ac-driven kink in an annular damped system

Details Progressive motion of an ac-driven kink in an annular damped system Progressive motion of an ac-driven kink in an annular damped system

2002-03-28

arxiv.org/abs/nlin/0203058v1

Physical Review E 65, 056613 (2002)

Nonlinear Sciences

Pattern Formation and Solitons

revtex text file and five eps figure files. Physical Review E, in press

Scientific paper

10.1103/PhysRevE.65.056613

A novel dynamical effect is presented: systematic drift of a topological soliton in ac-driven weakly damped systems with periodic boundary conditions. The effect is demonstrated in detail for a long annular Josephson junction. Unlike earlier considered cases of the ac-driven motion of fluxons (kinks), in the present case the long junction is_spatially uniform_. Numerical simulations reveal that progressive motion of the fluxon commences if the amplitude of the ac drive exceeds a threshold value. The direction of the motion is randomly selected by initial conditions, and a strong hysteresis is observed. An analytical approach to the problem is based on consideration of the interaction between plasma waves emitted by the fluxon under the action of the ac drive and the fluxon itself, after the waves complete round trip in the annular junction. The analysis predicts instability of the zero-average-velocity state of the fluxon interacting with its own radiation tails, provided that the drive's amplitude exceeds an explicitly found threshold. The predicted threshold amplitude strongly depends on the phase shift gained by the wave after the round trip. A very similar dependence is found in the simulations, testifying to the relevance of the analytical consideration.

Affiliated with

Also associated with

No associations

Rating

Progressive motion of an ac-driven kink in an annular damped system does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Progressive motion of an ac-driven kink in an annular damped system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Progressive motion of an ac-driven kink in an annular damped system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-64023