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

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 SP 4 in the global vall...

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2021-03, Vol.94 (3), Article 66
Main Authors: Quapp, W., Bofill, J. M.
Format: Article
Language:English
Subjects:
Analysis
Boundary conditions
Chains
Complex Systems
Condensed Matter Physics
Fluid- and Aerodynamics
Force and energy
Physics
Physics and Astronomy
Potential energy
Regular Article - Solid State and Materials
Solid State Physics
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Summary: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 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.
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/s10051-021-00074-2