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Volume 11
Issue 20
10.3390/electronics11203295
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Article

An Analysis of Some Properties and the Use of the Twist Map for the Finite Frenkel–Kontorova Model

by
Wolfgang Quapp
1,* and
Josep Maria Bofill
2,3
1
Mathematisches Institut, Universität Leipzig, D-04009 Leipzig, Germany
2
Departament de Química Orgánica, Universitat de Barcelona, 08028 Barcelona, Spain
3
Institut de Química Teórica i Computacional, Universitat de Barcelona, (IQTCUB), Martí i Franqués, 1, 08028 Barcelona, Spain
*
Author to whom correspondence should be addressed.
Electronics 2022, 11(20), 3295; https://doi.org/10.3390/electronics11203295
Submission received: 20 September 2022 / Revised: 7 October 2022 / Accepted: 10 October 2022 / Published: 13 October 2022
(This article belongs to the Special Issue Quantum and Optoelectronic Devices, Circuits and Systems)
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Abstract

We discuss the twist map, with a special interest in its use for the finite Frenkel–Kontorova model. We explain the meaning of the tensile force in some proposed models. We demonstrate that the application of the twist map for the finite FK model is not correct, because the procedure ignores the necessary boundary conditions.
Keywords: Frenkel–Kontorova model; average distance; finite chain; tensile force; twist map Frenkel–Kontorova model; average distance; finite chain; tensile force; twist map

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MDPI and ACS Style

Quapp, W.; Bofill, J.M. An Analysis of Some Properties and the Use of the Twist Map for the Finite Frenkel–Kontorova Model. Electronics 2022, 11, 3295. https://doi.org/10.3390/electronics11203295

AMA Style

Quapp W, Bofill JM. An Analysis of Some Properties and the Use of the Twist Map for the Finite Frenkel–Kontorova Model. Electronics. 2022; 11(20):3295. https://doi.org/10.3390/electronics11203295

Chicago/Turabian Style

Quapp, Wolfgang, and Josep Maria Bofill. 2022. "An Analysis of Some Properties and the Use of the Twist Map for the Finite Frenkel–Kontorova Model" Electronics 11, no. 20: 3295. https://doi.org/10.3390/electronics11203295

APA Style

Quapp, W., & Bofill, J. M. (2022). An Analysis of Some Properties and the Use of the Twist Map for the Finite Frenkel–Kontorova Model. Electronics, 11(20), 3295. https://doi.org/10.3390/electronics11203295

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