Anti-localization of non-stationary quasi-waves in a strongly nonlinear $β$-FPUT chain
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909946951499776 |
|---|---|
| author | Gavrilov, Serge N. Shishkina, Ekaterina V. Borisenkov, Bogdan S. |
| author_facet | Gavrilov, Serge N. Shishkina, Ekaterina V. Borisenkov, Bogdan S. |
| contents | Recently, a new general wave phenomenon, namely "the anti-localization of non-stationary linear waves", has been introduced and discussed (Shishkina et al., J. Sound. Vib. 553, 2023, 117673). This is zeroing of the propagating component for a non-stationary wave-field near a defect in infinitely long wave-guides. The phenomenon is known to be observed in both continuum and discrete mechanical systems with a defect, provided that the frequency spectrum for the corresponding homogeneous system possesses a stop-band. In this paper, we show that the anti-localization is also quite common for nonlinear systems. To demonstrate this, we numerically solve several non-stationary problems for an infinite strongly nonlinear $β$-FPUT chain with a defect. In our opinion, the anti-localization essentially influences the processes of heat transfer in linear and nonlinear lattices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20162 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anti-localization of non-stationary quasi-waves in a strongly nonlinear $β$-FPUT chain Gavrilov, Serge N. Shishkina, Ekaterina V. Borisenkov, Bogdan S. Pattern Formation and Solitons Classical Physics Recently, a new general wave phenomenon, namely "the anti-localization of non-stationary linear waves", has been introduced and discussed (Shishkina et al., J. Sound. Vib. 553, 2023, 117673). This is zeroing of the propagating component for a non-stationary wave-field near a defect in infinitely long wave-guides. The phenomenon is known to be observed in both continuum and discrete mechanical systems with a defect, provided that the frequency spectrum for the corresponding homogeneous system possesses a stop-band. In this paper, we show that the anti-localization is also quite common for nonlinear systems. To demonstrate this, we numerically solve several non-stationary problems for an infinite strongly nonlinear $β$-FPUT chain with a defect. In our opinion, the anti-localization essentially influences the processes of heat transfer in linear and nonlinear lattices. |
| title | Anti-localization of non-stationary quasi-waves in a strongly nonlinear $β$-FPUT chain |
| topic | Pattern Formation and Solitons Classical Physics |
| url | https://arxiv.org/abs/2504.20162 |