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Title: Discrete breathers in a triangular β-Fermi-Pasta-Ulam-Tsingou lattice
Authors: Babicheva, Rita I.
Semenov, Alexander S.
Soboleva, Elvira G.
Kudreyko, Aleksey A.
Zhou, Kun
Dmitriev, Sergey V.
Keywords: Science::Physics
Issue Date: 2021
Source: 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-.
Journal: Physical Review E
Abstract: 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.
ISSN: 2470-0045
DOI: 10.1103/PhysRevE.103.052202
Rights: © 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).
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:MAE Journal Articles

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