Phonon gap analysis for equilibria of perturbed almost-periodic Frenkel-Kontorova models
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866910019269689344 |
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| author | An, Yujia Su, Xifeng |
| author_facet | An, Yujia Su, Xifeng |
| contents | For generalized Frenkel-Kontorova models subjected to almost-periodic media, employing both the KAM method and the approach of `anti-integrable' limits, two different types of equilibria are obtained in \cite{an2024kamtheoryalmostperiodicequilibria} and \cite{du2024anti} respectively.
We study the phonon gap around these equilibria and we find that the KAM equilibria do not have a phonon gap but the equilibria obtained by anti-integrable limits do have. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_10898 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Phonon gap analysis for equilibria of perturbed almost-periodic Frenkel-Kontorova models An, Yujia Su, Xifeng Dynamical Systems 37D05, 37K45, 37K55 For generalized Frenkel-Kontorova models subjected to almost-periodic media, employing both the KAM method and the approach of `anti-integrable' limits, two different types of equilibria are obtained in \cite{an2024kamtheoryalmostperiodicequilibria} and \cite{du2024anti} respectively. We study the phonon gap around these equilibria and we find that the KAM equilibria do not have a phonon gap but the equilibria obtained by anti-integrable limits do have. |
| title | Phonon gap analysis for equilibria of perturbed almost-periodic Frenkel-Kontorova models |
| topic | Dynamical Systems 37D05, 37K45, 37K55 |
| url | https://arxiv.org/abs/2602.10898 |