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 journalJournal articlepeer-review

4 Citations (Scopus)


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 languageEnglish
Article number066602
Number of pages14
JournalPhysical Review E
Issue number6
Publication statusPublished - 6 Jun 2003

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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