Driven kinks in the anharmonic Frenkel-Kontorova model

Oleg M. Braun; Hong Zhang; Bambi Hu; Jasmina Tekic

doi:10.1103/PhysRevE.67.066602

Driven kinks in the anharmonic Frenkel-Kontorova model

Oleg M. Braun^*, Hong Zhang, Bambi Hu, Jasmina Tekic

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

Multiple and supersonic topological excitations (kinks) driven by an external dc force in the Frenkel-Kontorova model (a chain of atoms subjected to a periodic substrate potential) with the exponential interatomic interaction are studied with the help of numerical simulation. The simulation results are interpreted in terms of dynamics of two limiting cases, the exactly integrable sine-Gordon equation and the Toda chain. The stability of driven kinks and scenarios of their destruction are described for a wide range of model parameters.

Original language	English
Article number	066602
Number of pages	14
Journal	Physical Review E
Volume	67
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.67.066602
Publication status	Published - 6 Jun 2003

Scopus Subject Areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.67.066602

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abstract = "Multiple and supersonic topological excitations (kinks) driven by an external dc force in the Frenkel-Kontorova model (a chain of atoms subjected to a periodic substrate potential) with the exponential interatomic interaction are studied with the help of numerical simulation. The simulation results are interpreted in terms of dynamics of two limiting cases, the exactly integrable sine-Gordon equation and the Toda chain. The stability of driven kinks and scenarios of their destruction are described for a wide range of model parameters.",

author = "Braun, {Oleg M.} and Hong Zhang and Bambi Hu and Jasmina Tekic",

note = "The work of O.B. was supported in part by NATO Grant No. HTECH.LG 971372 and INTAS Grant No. 97-31061, and that of H.Z., B.H., and J.T. by grants from the Hong Kong Research Grants Council (RGC) and the Hong Kong Baptist University Faculty Research Grant (FRG).",

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AU - Braun, Oleg M.

AU - Zhang, Hong

AU - Hu, Bambi

AU - Tekic, Jasmina

N1 - The work of O.B. was supported in part by NATO Grant No. HTECH.LG 971372 and INTAS Grant No. 97-31061, and that of H.Z., B.H., and J.T. by grants from the Hong Kong Research Grants Council (RGC) and the Hong Kong Baptist University Faculty Research Grant (FRG).

PY - 2003/6/6

Y1 - 2003/6/6

N2 - Multiple and supersonic topological excitations (kinks) driven by an external dc force in the Frenkel-Kontorova model (a chain of atoms subjected to a periodic substrate potential) with the exponential interatomic interaction are studied with the help of numerical simulation. The simulation results are interpreted in terms of dynamics of two limiting cases, the exactly integrable sine-Gordon equation and the Toda chain. The stability of driven kinks and scenarios of their destruction are described for a wide range of model parameters.

AB - Multiple and supersonic topological excitations (kinks) driven by an external dc force in the Frenkel-Kontorova model (a chain of atoms subjected to a periodic substrate potential) with the exponential interatomic interaction are studied with the help of numerical simulation. The simulation results are interpreted in terms of dynamics of two limiting cases, the exactly integrable sine-Gordon equation and the Toda chain. The stability of driven kinks and scenarios of their destruction are described for a wide range of model parameters.

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Driven kinks in the anharmonic Frenkel-Kontorova model

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