A general multi-wave quasi-resonance theory for lattice energy diffusion
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929716376633344 |
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| author | Lin, Wei Fu, Weicheng Wang, Zhen Zhang, Yong Zhao, Hong |
| author_facet | Lin, Wei Fu, Weicheng Wang, Zhen Zhang, Yong Zhao, Hong |
| contents | In this letter, a multi-wave quasi-resonance framework is established to analyze energy diffusion in classical lattices, uncovering that it is fundamentally determined by the characteristics of eigenmodes. Namely, based on the presence and the absence of extended modes, lattices fall into two universality classes with qualitatively different thermalization behavior. In particular, we find that while the one with extended modes can be thermalized under arbitrarily weak perturbations in the thermodynamic limit, the other class can be thermalized only when perturbations exceed a certain threshold, revealing for the first time the possibility that a lattice cannot be thermalized, violating the hypothesis of statistical mechanics. Our study addresses conclusively the renowned Fermi-Pasta-Ulam-Tsingou problem for large systems under weak perturbations, underscoring the pivotal roles of both extended and localized modes in facilitating energy diffusion and thermalization processes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15147 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A general multi-wave quasi-resonance theory for lattice energy diffusion Lin, Wei Fu, Weicheng Wang, Zhen Zhang, Yong Zhao, Hong Statistical Mechanics Disordered Systems and Neural Networks Chaotic Dynamics Classical Physics In this letter, a multi-wave quasi-resonance framework is established to analyze energy diffusion in classical lattices, uncovering that it is fundamentally determined by the characteristics of eigenmodes. Namely, based on the presence and the absence of extended modes, lattices fall into two universality classes with qualitatively different thermalization behavior. In particular, we find that while the one with extended modes can be thermalized under arbitrarily weak perturbations in the thermodynamic limit, the other class can be thermalized only when perturbations exceed a certain threshold, revealing for the first time the possibility that a lattice cannot be thermalized, violating the hypothesis of statistical mechanics. Our study addresses conclusively the renowned Fermi-Pasta-Ulam-Tsingou problem for large systems under weak perturbations, underscoring the pivotal roles of both extended and localized modes in facilitating energy diffusion and thermalization processes. |
| title | A general multi-wave quasi-resonance theory for lattice energy diffusion |
| topic | Statistical Mechanics Disordered Systems and Neural Networks Chaotic Dynamics Classical Physics |
| url | https://arxiv.org/abs/2404.15147 |