Discrete breathers in a triangular β-Fermi-Pasta-Ulam-Tsingou lattice
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 s...
| Main Authors: | , , , , , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2021
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/151109 |
| _version_ | 1826110777177669632 |
|---|---|
| author | Babicheva, Rita I. Semenov, Alexander S. Soboleva, Elvira G. Kudreyko, Aleksey A. Zhou, Kun Dmitriev, Sergey V. |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Babicheva, Rita I. Semenov, Alexander S. Soboleva, Elvira G. Kudreyko, Aleksey A. Zhou, Kun Dmitriev, Sergey V. |
| author_sort | Babicheva, Rita I. |
| collection | NTU |
| description | 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. |
| first_indexed | 2024-10-01T02:39:42Z |
| format | Journal Article |
| id | ntu-10356/151109 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:39:42Z |
| publishDate | 2021 |
| record_format | dspace |
| spelling | ntu-10356/1511092021-06-29T03:06:58Z Discrete breathers in a triangular β-Fermi-Pasta-Ulam-Tsingou lattice Babicheva, Rita I. Semenov, Alexander S. Soboleva, Elvira G. Kudreyko, Aleksey A. Zhou, Kun Dmitriev, Sergey V. School of Mechanical and Aerospace Engineering Environmental Process Modelling Centre Nanyang Environment and Water Research Institute Science::Physics Breathers Nonlinear Dynamics 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. Nanyang Technological University Published version The authors acknowledge the financial support from Nanyang Environment & Water Research Institute. Research of E.G.S. was carried out at National Research Tomsk Polytechnic University within the framework of a Tomsk Polytechnic University Competitiveness Enhancement Program grant. 2021-06-29T03:06:58Z 2021-06-29T03:06:58Z 2021 Journal Article Babicheva, R. I., Semenov, A. S., Soboleva, E. G., Kudreyko, A. A., Zhou, K. & Dmitriev, S. V. (2021). Discrete breathers in a triangular β-Fermi-Pasta-Ulam-Tsingou lattice. Physical Review E, 103(5), 052202-. https://dx.doi.org/10.1103/PhysRevE.103.052202 2470-0045 https://hdl.handle.net/10356/151109 10.1103/PhysRevE.103.052202 2-s2.0-85105911781 5 103 052202 en Physical Review E © 2021 American Physical Society (APS). All rights reserved. This paper was published in Physical Review E and is made available with permission of American Physical Society (APS). application/pdf |
| spellingShingle | Science::Physics Breathers Nonlinear Dynamics Babicheva, Rita I. Semenov, Alexander S. Soboleva, Elvira G. Kudreyko, Aleksey A. Zhou, Kun Dmitriev, Sergey V. Discrete breathers in a triangular β-Fermi-Pasta-Ulam-Tsingou lattice |
| title | Discrete breathers in a triangular β-Fermi-Pasta-Ulam-Tsingou lattice |
| title_full | Discrete breathers in a triangular β-Fermi-Pasta-Ulam-Tsingou lattice |
| title_fullStr | Discrete breathers in a triangular β-Fermi-Pasta-Ulam-Tsingou lattice |
| title_full_unstemmed | Discrete breathers in a triangular β-Fermi-Pasta-Ulam-Tsingou lattice |
| title_short | Discrete breathers in a triangular β-Fermi-Pasta-Ulam-Tsingou lattice |
| title_sort | discrete breathers in a triangular β fermi pasta ulam tsingou lattice |
| topic | Science::Physics Breathers Nonlinear Dynamics |
| url | https://hdl.handle.net/10356/151109 |
| work_keys_str_mv | AT babichevaritai discretebreathersinatriangularbfermipastaulamtsingoulattice AT semenovalexanders discretebreathersinatriangularbfermipastaulamtsingoulattice AT sobolevaelvirag discretebreathersinatriangularbfermipastaulamtsingoulattice AT kudreykoalekseya discretebreathersinatriangularbfermipastaulamtsingoulattice AT zhoukun discretebreathersinatriangularbfermipastaulamtsingoulattice AT dmitrievsergeyv discretebreathersinatriangularbfermipastaulamtsingoulattice |