Persistence of regular motions for nearly integrable Hamiltonian systems in the thermodynamic limit
| Autor: | Luigi Galgani, Fabrizio Gangemi, Roberto Gangemi, Alberto Maiocchi, Andrea Carati |
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| Přispěvatelé: | Carati, A, Galgani, L, Maiocchi, A, Gangemi, F, Gangemi, R |
| Rok vydání: | 2016 |
| Předmět: |
thermodynamic limit
Integrable system 010102 general mathematics Type (model theory) 01 natural sciences optical properties of matter perturbation theory Hamiltonian system Connection (mathematics) Mathematics (miscellaneous) Classical mechanics 0103 physical sciences Thermodynamic limit Perturbation theory (quantum mechanics) Limit (mathematics) 0101 mathematics 010306 general physics Persistence (discontinuity) Mathematics |
| Zdroj: | Regular and Chaotic Dynamics. 21:660-664 |
| ISSN: | 1468-4845 1560-3547 |
| DOI: | 10.1134/s156035471606006x |
| Popis: | A review is given of the studies aimed at extending to the thermodynamic limit stability results of Nekhoroshev type for nearly integrable Hamiltonian systems. The physical relevance of such an extension, i. e., of proving the persistence of regular (or ordered) motions in that limit, is also discussed. This is made in connection both with the old Fermi–Pasta–Ulam problem, which gave origin to such discussions, and with the optical spectral lines, the existence of which was recently proven to be possible in classical models, just in virtue of such a persistence. |
| Databáze: | OpenAIRE |
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