Lecture Notes in Physics

The Fermi-Pasta-Ulam Problem

A Status Report

Editors: Gallavotti, Giovanni (Ed.)

  • Offers a comprehensive set of reviews on the questions raised by the Fermi-Pasta-Ulam experiment
  • Provides answers and approaches known since the experiment was first conducted in the 1950s
  • Includes a reprint of the original Fermi-Pasta-Ulam paper
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eBook $149.00
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  • ISBN 978-3-540-72995-2
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Hardcover $189.00
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  • ISBN 978-3-540-72994-5
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Softcover $189.00
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  • ISBN 978-3-642-09209-1
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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.

Table of contents (8 chapters)

  • Introduction to FPU

    Gallavotti, G.

    Pages 1-19

  • Dynamics of Oscillator Chains

    Lichtenberg, Allan J. (et al.)

    Pages 21-121

  • Role of Chaos for the Validity of Statistical Mechanics Laws: Diffusion and Conduction

    Cencini, Massimo (et al.)

    Pages 123-149

  • The Fermi—Pasta—Ulam Problem and the Metastability Perspective

    Benettin, G. (et al.)

    Pages 151-189

  • Resonance, Metastability and Blow up in FPU

    Bambusi, Dario (et al.)

    Pages 191-205

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-3-540-72995-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-3-540-72994-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-3-642-09209-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Fermi-Pasta-Ulam Problem
Book Subtitle
A Status Report
Editors
  • Giovanni Gallavotti
Series Title
Lecture Notes in Physics
Series Volume
728
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-72995-2
DOI
10.1007/978-3-540-72995-2
Hardcover ISBN
978-3-540-72994-5
Softcover ISBN
978-3-642-09209-1
Series ISSN
0075-8450
Edition Number
1
Number of Pages
VII, 301
Topics