Wave Turbulence and thermalization in one-dimensional chains
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866911955311132672 |
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| author | Onorato, Miguel Lvov, Yuri V. Dematteis, Giovanni Chibbaro, Sergio |
| author_facet | Onorato, Miguel Lvov, Yuri V. Dematteis, Giovanni Chibbaro, Sergio |
| contents | One-dimensional chains are used as a fundamental model of condensed matter, and have constituted the starting point for key developments in nonlinear physics and complex systems. The pioneering work in this field was proposed by Fermi, Pasta, Ulam and Tsingou in the 50s in Los Alamos. An intense and fruitful mathematical and physical research followed during these last 70 years. Recently, a fresh look at the mechanisms of thermalization in such systems has been provided through the lens of the Wave Turbulence approach. In this review, we give a critical summary of the results obtained in this framework. We also present a series of open problems and challenges that future work needs to address. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_18215 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Wave Turbulence and thermalization in one-dimensional chains Onorato, Miguel Lvov, Yuri V. Dematteis, Giovanni Chibbaro, Sergio Chaotic Dynamics Statistical Mechanics One-dimensional chains are used as a fundamental model of condensed matter, and have constituted the starting point for key developments in nonlinear physics and complex systems. The pioneering work in this field was proposed by Fermi, Pasta, Ulam and Tsingou in the 50s in Los Alamos. An intense and fruitful mathematical and physical research followed during these last 70 years. Recently, a fresh look at the mechanisms of thermalization in such systems has been provided through the lens of the Wave Turbulence approach. In this review, we give a critical summary of the results obtained in this framework. We also present a series of open problems and challenges that future work needs to address. |
| title | Wave Turbulence and thermalization in one-dimensional chains |
| topic | Chaotic Dynamics Statistical Mechanics |
| url | https://arxiv.org/abs/2305.18215 |