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. ] |
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| Tác giả của công ty: | |
| Tác giả khác: | , , , , , |
| Tóm tắt: | 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. |
| Ngôn ngữ: | Tiếng Anh |
| Được phát hành: |
2021
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| Những chủ đề: | |
| Truy cập trực tuyến: | https://doi.org/10.1103/PhysRevE.103.052202 |
| Định dạng: | Điện tử Chương của sách |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=664955 |
| Tóm tắt: | 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. |
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| DOI: | 10.1103/PhysRevE.103.052202 |