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

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.

20 Plain Latex pages, 10 Eps figures, to appear in Phys. Rev.B

References in corpus (1)

• Spatiotemporal dynamics of discrete sine-Gordon lattices with sinusoidal couplings

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• Thermal depinning of fluxons in discrete Josephson rings
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• Existence of travelling waves in discrete sine-Gordon rings