The role of integrability in Fermi-Pasta-Ulam-Tsingou-like models
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914050762342400 |
|---|---|
| author | Gallone, Matteo |
| author_facet | Gallone, Matteo |
| contents | In these lecture notes, we present, contextualize, and discuss the phenomenon of metastability (or prethermalization) in the Fermi-Pasta-Ulam-Tsingou lattice and similar models from the viewpoint of perturbation theory. We provide an updated state-of-the-art description of this intermediate state in terms of the underlying integrable dynamics, in particular the Korteweg-de Vries and inviscid Burgers equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_17753 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The role of integrability in Fermi-Pasta-Ulam-Tsingou-like models Gallone, Matteo Mathematical Physics Primary 35Q53 -- KdV equations, 37K60 -- Lattice dynamics, integrable lattice equations In these lecture notes, we present, contextualize, and discuss the phenomenon of metastability (or prethermalization) in the Fermi-Pasta-Ulam-Tsingou lattice and similar models from the viewpoint of perturbation theory. We provide an updated state-of-the-art description of this intermediate state in terms of the underlying integrable dynamics, in particular the Korteweg-de Vries and inviscid Burgers equations. |
| title | The role of integrability in Fermi-Pasta-Ulam-Tsingou-like models |
| topic | Mathematical Physics Primary 35Q53 -- KdV equations, 37K60 -- Lattice dynamics, integrable lattice equations |
| url | https://arxiv.org/abs/2509.17753 |