An Analysis of Some Properties and the Use of the Twist Map for the Finite Frenkel–Kontorova Model
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 nec...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-10-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/11/20/3295 |
| _version_ | 1797473656904876032 |
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| author | Wolfgang Quapp Josep Maria Bofill |
| author_facet | Wolfgang Quapp Josep Maria Bofill |
| author_sort | Wolfgang Quapp |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T20:19:28Z |
| format | Article |
| id | doaj.art-775b3252d3384993b9aa3872a06a3044 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-09T20:19:28Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-775b3252d3384993b9aa3872a06a30442023-11-23T23:52:52ZengMDPI AGElectronics2079-92922022-10-011120329510.3390/electronics11203295An Analysis of Some Properties and the Use of the Twist Map for the Finite Frenkel–Kontorova ModelWolfgang Quapp0Josep Maria Bofill1Mathematisches Institut, Universität Leipzig, D-04009 Leipzig, GermanyDepartament de Química Orgánica, Universitat de Barcelona, 08028 Barcelona, SpainWe 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.https://www.mdpi.com/2079-9292/11/20/3295Frenkel–Kontorova modelaverage distancefinite chaintensile forcetwist map |
| spellingShingle | Wolfgang Quapp Josep Maria Bofill An Analysis of Some Properties and the Use of the Twist Map for the Finite Frenkel–Kontorova Model Electronics Frenkel–Kontorova model average distance finite chain tensile force twist map |
| title | An Analysis of Some Properties and the Use of the Twist Map for the Finite Frenkel–Kontorova Model |
| title_full | An Analysis of Some Properties and the Use of the Twist Map for the Finite Frenkel–Kontorova Model |
| title_fullStr | An Analysis of Some Properties and the Use of the Twist Map for the Finite Frenkel–Kontorova Model |
| title_full_unstemmed | An Analysis of Some Properties and the Use of the Twist Map for the Finite Frenkel–Kontorova Model |
| title_short | An Analysis of Some Properties and the Use of the Twist Map for the Finite Frenkel–Kontorova Model |
| title_sort | analysis of some properties and the use of the twist map for the finite frenkel kontorova model |
| topic | Frenkel–Kontorova model average distance finite chain tensile force twist map |
| url | https://www.mdpi.com/2079-9292/11/20/3295 |
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