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

Zhigang Zheng; Bambi Hu; Gang Hu

doi:10.1103/PhysRevB.58.5453

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

Zhigang Zheng^*, Bambi Hu, Gang Hu

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

53 Citations (Scopus)

Abstract

The kink dynamics of the damped Frenkel-Kontorova (discrete sine-Gordon) chain driven by a constant external force is investigated. Resonant steplike transitions of the average velocity occur due to the competition 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 one-dimensional Josephson-junction arrays and ladders, dislocations, tribology, and other fields.

Original language	English
Pages (from-to)	5453-5461
Number of pages	9
Journal	Physical Review B
Volume	58
Issue number	9
DOIs	https://doi.org/10.1103/PhysRevB.58.5453
Publication status	Published - 1 Sept 1998

Scopus Subject Areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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title = "Resonant steps and spatiotemporal dynamics in the damped dc-driven Frenkel-Kontorova chain",

abstract = "The kink dynamics of the damped Frenkel-Kontorova (discrete sine-Gordon) chain driven by a constant external force is investigated. Resonant steplike transitions of the average velocity occur due to the competition 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 one-dimensional Josephson-junction arrays and ladders, dislocations, tribology, and other fields.",

author = "Zhigang Zheng and Bambi Hu and Gang Hu",

note = "This work was supported in part by the Research Grant Council RGC and the Hong Kong Baptist University Faculty Research Grant FRG. It was also supported by the National Foundation of Natural Science of China.",

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AU - Zheng, Zhigang

AU - Hu, Bambi

AU - Hu, Gang

N1 - This work was supported in part by the Research Grant Council RGC and the Hong Kong Baptist University Faculty Research Grant FRG. It was also supported by the National Foundation of Natural Science of China.

PY - 1998/9/1

Y1 - 1998/9/1

N2 - The kink dynamics of the damped Frenkel-Kontorova (discrete sine-Gordon) chain driven by a constant external force is investigated. Resonant steplike transitions of the average velocity occur due to the competition 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 one-dimensional Josephson-junction arrays and ladders, dislocations, tribology, and other fields.

AB - The kink dynamics of the damped Frenkel-Kontorova (discrete sine-Gordon) chain driven by a constant external force is investigated. Resonant steplike transitions of the average velocity occur due to the competition 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 one-dimensional Josephson-junction arrays and ladders, dislocations, tribology, and other fields.

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

Abstract

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