The Fermi-Pasta-Ulam Problem : A Status Report
The apparent contradiction of the results of the Fermi-Pasta-Ulam experiment conducted in 1953 and 1954 with the hypothesis that essentially any nonlinearity would lead to a system exhibiting ergodic behaviour has become known as the Fermi-Pasta-Ulam Problem. This volume reviews the current understa...
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| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2008. |
| Edice: | Lecture Notes in Physics
728 |
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| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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| Edition sous un autre format: | • The Fermi-pasta-ulam Problem, a status report, G. Gallavotti, Berlin, Springer Verlag, 2008, 1 vol. (VII-301 p.), Lecture notes in physics, 978-3-540-72994-5 • The Fermi-pasta-ulam Problem, a status report, G. Gallavotti, Berlin, Springer Verlag, 2008, 1 vol. (VII-301 p.), Lecture notes in physics, 978-3-540-72994-5 • The Fermi-Pasta-Ulam Problem, Texte imprimé, 9783540839378 • The Fermi-pasta-ulam Problem, a status report, G. Gallavotti, Berlin, Springer Verlag, 2008, 1 vol. (VII-301 p.), Lecture notes in physics, 978-3-540-72994-5 |
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| 100 | 1 | |a Gallavotti, Giovanni, |d 1941-...., |c physicien. | |
| 245 | 1 | 0 | |a The Fermi-Pasta-Ulam Problem : |b A Status Report |c edited by Giovanni Gallavotti. |
| 250 | |a 1st ed. 2008. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
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| 505 | 1 | |a to FPU Dynamics of Oscillator Chains Role of Chaos for the Validity of Statistical Mechanics Laws: Diffusion and Conduction The Fermi Pasta Ulam Problem and the Metastability Perspective Resonance, Metastability and Blow up in FPU Center Manifold Theory in the Context of Infinite One-Dimensional Lattices Numerical Methods and Results in the FPU Problem An Integrable Approximation for the Fermi Pasta Ulam Lattice | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The apparent contradiction of the results of the Fermi-Pasta-Ulam experiment conducted in 1953 and 1954 with the hypothesis that essentially any nonlinearity would lead to a system exhibiting ergodic behaviour has become known as the Fermi-Pasta-Ulam Problem. This volume reviews the current understanding of this paradox without trying to force coherence on differing perspectives on the same problem by various groups or approaches. The contributions comprise studies of one-dimensional chains, descriptions of numerical methods, heuristic theories, addressing the "long standing and controversial problem of distinguishing chaos from noise in signal analysis," metastability, the relation of the FPU motions with the integrable equations, approaches using methods of perturbation theory and the proof of the applicability of KAM theory in FPU chains with energy very close to a minimum. For the convenience of the reader the original work of FPU is reprinted in an appendix. The order of the contributions reflects the aim of leading the interested but inexperienced reader through gradual understanding, starting from general analysis, and proceeding towards more specialized topics | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Théorie ergodique | ||
| 650 | |a Oscillations | ||
| 650 | |a Mécanique | ||
| 650 | |a Mécanique statistique | ||
| 650 | |a Théorie des treillis | ||
| 650 | |a Physique | ||
| 650 | |a Physique mathématique | ||
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| 776 | 0 | |0 120278731 |t The Fermi-pasta-ulam Problem |o a status report |f G. Gallavotti |c Berlin |n Springer Verlag |d 2008 |p 1 vol. (VII-301 p.) |s Lecture notes in physics |z 978-3-540-72994-5 | |
| 776 | 0 | |t The Fermi-Pasta-Ulam Problem |b Texte imprimé |z 9783540839378 | |
| 776 | 0 | |0 120278731 |t The Fermi-pasta-ulam Problem |o a status report |f G. Gallavotti |c Berlin |n Springer Verlag |d 2008 |p 1 vol. (VII-301 p.) |s Lecture notes in physics |z 978-3-540-72994-5 | |
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