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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| Korporativní autor: | |
| Další autoři: | , , , , , |
| Shrnutí: | 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. |
| Jazyk: | angličtina |
| Vydáno: |
2021
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| Témata: | |
| On-line přístup: | https://doi.org/10.1103/PhysRevE.103.052202 |
| Médium: | MixedMaterials Elektronický zdroj Kapitola |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=664955 |
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| 200 | 1 | |a Discrete breathers in a triangular β-Fermi-Pasta-Ulam-Tsingou lattice |f R. I. Babicheva, A. S. Semenov, E. G. Soboleva [et al.] | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 115 tit.] | ||
| 330 | |a 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. | ||
| 461 | |t Physical Review E | ||
| 463 | |t Vol. 103, iss. 5 |v [052202, 14 p. ] |d 2021 | ||
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| 701 | 1 | |a Babicheva |b R. I. |g Rita | |
| 701 | 1 | |a Semenov |b A. S. | |
| 701 | 1 | |a Soboleva |b E. G. |c physicist |c Associate Professor of Yurga technological Institute of Tomsk Polytechnic University, Candidate of physical and mathematical Sciences |f 1976- |g Elvira Gomerovna |3 (RuTPU)RU\TPU\pers\32994 |9 16839 | |
| 701 | 1 | |a Kudreyko |b A. A. |g Aleksey Alfredovich | |
| 701 | 0 | |a Zhou Kun | |
| 701 | 1 | |a Dmitriev |b S. V. |g Sergey Vladimirovich | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет |b Юргинский технологический институт |c (2009- ) |3 (RuTPU)RU\TPU\col\15903 |
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