Overview
- Comprehensive set of reviews on the questions raised by the FPU experiment and the answers and approaches known 50 years later
- With a reprint of the original FPU paper
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Physics (LNP, volume 728)
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About this book
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.
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Table of contents (8 chapters)
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Front Matter
Editors and Affiliations
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Bibliographic Information
Book Title: The Fermi-Pasta-Ulam Problem
Book Subtitle: A Status Report
Editors: Giovanni Gallavotti
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-3-540-72995-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Hardcover ISBN: 978-3-540-72994-5Published: 22 November 2007
Softcover ISBN: 978-3-642-09209-1Published: 30 November 2010
eBook ISBN: 978-3-540-72995-2Published: 28 November 2007
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: VII, 301
Topics: Theoretical, Mathematical and Computational Physics, Classical Mechanics, Dynamical Systems and Ergodic Theory, Complex Systems, Partial Differential Equations, Statistical Physics and Dynamical Systems