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A novel dynamical effect is presented: systematic drift of a topologicalsoliton 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), inthe present case the long junction is_spatially uniform_. Numerical simulationsreveal that progressive motion of the fluxon commences if the amplitude of theac drive exceeds a threshold value. The direction of the motion is randomlyselected by initial conditions, and a strong hysteresis is observed. Ananalytical approach to the problem is based on consideration of the interactionbetween plasma waves emitted by the fluxon under the action of the ac drive andthe fluxon itself, after the waves complete round trip in the annular junction.The analysis predicts instability of the zero-average-velocity state of thefluxon interacting with its own radiation tails, provided that the drive'samplitude exceeds an explicitly found threshold. The predicted thresholdamplitude strongly depends on the phase shift gained by the wave after theround trip. A very similar dependence is found in the simulations, testifyingto the relevance of the analytical consideration.Comment: revtex text file and five eps figure files. Physical Review E, in  pres

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