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Resonant steps and spatiotemporal dynamics in the damped dc-driven Frenkel-Kontorova chain

Zhigang Zheng·Bambi Hu·Gang Hu
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Abstract

Kink dynamics of the damped Frenkel-Kontorova (discrete sine-Gordon) chain driven by a constant external force are investigated. Resonant steplike transitions of the average velocity occur due to the competitions between the moving kinks and their radiated phasonlike modes. A mean-field consideration is introduced to give a precise prediction of the resonant steps. Slip-stick motion and spatiotemporal dynamics on those resonant steps are discussed. Our results can be applied to studies of the fluxon dynamics of 1D Josephson-junction arrays and ladders, dislocations, tribology and other fields.

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Zhigang Zheng, Bambi Hu, Gang Hu. 1998-02-24. Resonant steps and spatiotemporal dynamics in the damped dc-driven Frenkel-Kontorova chain. https://doi.org/10.1103/physrevb.58.5453

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