The Fermi-Pasta-Ulam Problem -

The Fermi-Pasta-Ulam Problem

A Status Report

Giovanni Gallavotti (Herausgeber)

Buch | Softcover
VII, 301 Seiten
2010 | 1. Softcover reprint of hardcover 1st ed. 2008
Springer Berlin (Verlag)
978-3-642-09209-1 (ISBN)
139,09 inkl. MwSt

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.

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.

Erscheint lt. Verlag 30.11.2010
Reihe/Serie Lecture Notes in Physics
Zusatzinfo VII, 301 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 474 g
Themenwelt Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte Dynamical Systems • ergodic hypothesis • FPU experiment • Integrable Systems • KdV equation • Partial differential equations • Statistical Mechanics
ISBN-10 3-642-09209-8 / 3642092098
ISBN-13 978-3-642-09209-1 / 9783642092091
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Das Lehrbuch

von Wilhelm Kulisch; Regine Freudenstein

Buch | Softcover (2024)
Wiley-VCH (Verlag)
39,99
für Studierende der Naturwissenschaften und Technik

von Paul A. Tipler; Peter Kersten; Gene Mosca

Buch (2024)
Springer Spektrum (Verlag)
79,99