Аннотация:
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.
Ключевые слова:
perturbation theory, thermodynamic limit, optical properties of matter.
Поступила в редакцию: 31.08.2016 Принята в печать: 06.09.2016
Образец цитирования:
Andrea Carati, Luigi Galgani, Alberto Maiocchi, Fabrizio Gangemi, Roberto Gangemi, “Persistence of Regular Motions for Nearly Integrable Hamiltonian Systems in the Thermodynamic Limit”, Regul. Chaotic Dyn., 21:6 (2016), 660–664
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\by Andrea Carati, Luigi Galgani, Alberto Maiocchi, Fabrizio Gangemi, Roberto Gangemi
\paper Persistence of Regular Motions for Nearly Integrable Hamiltonian Systems in the Thermodynamic Limit
\jour Regul. Chaotic Dyn.
\yr 2016
\vol 21
\issue 6
\pages 660--664
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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd216
https://www.mathnet.ru/rus/rcd/v21/i6/p660
Эта публикация цитируется в следующих 1 статьяx:
D. Abanin, W. De Roeck, W. W. Ho, F. Huveneers, “A rigorous theory of many-body prethermalization for periodically driven and closed quantum systems”, Commun. Math. Phys., 354:3 (2017), 809–827
Цитирование в формате AMSBIB
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