Discrete breathers in a triangular β-Fermi-Pasta-Ulam-Tsingou lattice; Physical Review E; Vol. 103, iss. 5
| Parent link: | Physical Review E Vol. 103, iss. 5.— 2021.— [052202, 14 p. ] |
|---|---|
| Institutionell upphovsman: | Национальный исследовательский Томский политехнический университет Юргинский технологический институт |
| Övriga upphovsmän: | Babicheva R. I. Rita, Semenov A. S., Soboleva E. G. Elvira Gomerovna, Kudreyko A. A. Aleksey Alfredovich, Zhou Kun, Dmitriev S. V. Sergey Vladimirovich |
| Sammanfattning: | Title screen A practical approach to the search for (quasi-) discrete breathers (DBs) in a triangular β-FPUT lattice (after Fermi, Pasta, Ulam, and Tsingou) is proposed. DBs are obtained by superimposing localizing functions on delocalized nonlinear vibrational modes (DNVMs) having frequencies above the phonon spectrum of the lattice. Zero-dimensional and one-dimensional DBs are obtained. The former ones are localized in both spatial dimensions, and the latter ones are only in one dimension. Among the one-dimensional DBs, two families are considered: the first is based on the DNVMs of a triangular lattice, and the second is based on the DNVMs of a chain. We speculate that our systematic approach on the triangular β-FPUT lattice reveals all possible types of spatially localized oscillations with frequencies bifurcating from the upper edge of the phonon band as all DNVMs with frequencies above the phonon band are analyzed. |
| Språk: | engelska |
| Publicerad: |
2021
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| Ämnen: | |
| Länkar: | https://doi.org/10.1103/PhysRevE.103.052202 |
| Materialtyp: | Elektronisk Bokavsnitt |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=664955 |
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Liknande verk
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Discrete breathers in square lattices from delocalized nonlinear vibrational modes; Physical Review E; Vol. 107, iss. 3
Publicerad: (2023) -
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Publicerad: (2016) -
Influence of the relative stiffness of second-neighbor interactions on chaotic discrete breathers in a square lattice; Chaos, Solitons and Fractals; Vol. 183
Publicerad: (2024) -
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Publicerad: (2017) -
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Publicerad: (New York, W.A. Benjamin, Inc, 1964)