The Fermi–Pasta–Ulam problem as a challenge for the foundations of physics
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Publication:5705483
DOI10.1063/1.1861264zbMath1080.82002OpenAlexW2082794074WikidataQ36100694 ScholiaQ36100694MaRDI QIDQ5705483
Luigi Galgani, Antonio Giorgilli, Andrea Carati
Publication date: 8 November 2005
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1861264
Foundations of equilibrium statistical mechanics (82B03) Lattice dynamics; integrable lattice equations (37K60)
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Cites Work
- On the definition of temperature in FPU systems
- On the problem of energy equipartition for large systems of the Fermi- Pasta-Ulam type: Analytical and numerical estimates
- A Nekhoroshev-type theorem for Hamiltonian systems with infinitely many degrees of freedom
- Chaotic behavior in nonlinear Hamiltonian systems and equilibrium statistical mechanics.
- Exponentially long times to equipartition in the thermodynamic limit
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems
- Low-energy chaos in the Fermi - Pasta - Ulam problem
- Quasi-harmonicity and power spectra in the FPU model
- Korteweg–de Vries equation and energy sharing in Fermi–Pasta–Ulam
- Time scale for energy equipartition in a two-dimensional FPU model
