Article
Frequency–momentum representation of moving breathers in a two dimensional hexagonal lattice
Author/s | Bajārs, Jānis
Archilla, Juan F. R. ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Física Aplicada I |
Publication Date | 2022-12 |
Deposit Date | 2023-04-14 |
Published in |
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Abstract | We study nonlinear excitations propagating in a hexagonal layer which is a model for the cation layer of silicates. We consider their properties in the frequency–momentum or ω − k representation, extending the theory on ... We study nonlinear excitations propagating in a hexagonal layer which is a model for the cation layer of silicates. We consider their properties in the frequency–momentum or ω − k representation, extending the theory on pterobreathers in their moving frame for the first time to two dimensions. It can also be easily extended to three dimensions. Exact traveling waves in the ω − k representation are within resonant planes, each plane corresponding in the moving frame to a single frequency. These frequencies are integer multiples of a frequency called the fundamental frequency. A breather is within a resonant plane called the breather plane and has a single frequency in the moving frame. The intersection of the resonant planes with the phonon surfaces produce co-traveling wings with a small set of frequencies. The traveling waves obtained by perturbing the system consist of a breather and a soliton traveling together and are quasi-exact. These traveling waves can be used as seeds to obtain exact traveling waves, also formed by a breather and a soliton. The wings do exist but they are usually very small. |
Funding agencies | Ministerio de Ciencia e Innovación (MICIN). España |
Project ID. | PID2019-109175GB-C2
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Citation | Bajārs, J. y Rodríguez Archilla, J.F. (2022). Frequency–momentum representation of moving breathers in a two dimensional hexagonal lattice. Layered silicates, 441. https://doi.org/10.1016/j.physd.2022.133497. |
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