Description of Shapiro steps on the potential energy surface of a Frenkel–Kontorova model Part I: The chain in a variable box

W. Quapp () and J. M. Bofill ()
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W. Quapp: Mathematisches Institut, Universität Leipzig
J. M. Bofill: Universitat de Barcelona

The European Physical Journal B: Condensed Matter and Complex Systems, 2021, vol. 94, issue 3, 1-9

Abstract: Abstract We explain the vibrations of a Frenkel–Kontorova (FK) model under Shapiro steps by the action of an external alternating force. We demonstrate Shapiro steps for a case with soft ‘springs’ between an 8-particles FK chain. Shapiro steps start with a single jump over the highest $$\hbox {SP}_4$$ SP 4 in the global valley through the PES. They finish with doubled, and again doubled oscillations. We study in this part I a traditional FK model with periodic boundary conditions.

Date: 2021
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DOI: 10.1140/epjb/s10051-021-00074-2

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