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

Goldobin, Edward; Malomed, Boris A.; Ustinov, Alexey V.

##### Abstract:
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. ... mehr

 Zugehörige Institution(en) am KIT Physikalisches Institut (PHI) Publikationstyp Zeitschriftenaufsatz Publikationsjahr 2002 Sprache Englisch Identifikator ISSN: 1063-651X, 1095-3787, 1539-3755, 1550-2376, 2470-0045, 2470-0053 KITopen-ID: 1000074331 Erschienen in Physical review / E Band 65 Heft 5 Seiten Art. Nr. 056613 Nachgewiesen in Web of ScienceScopus
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