The Fermi-Pasta-Ulam problem: fifty years of progress

A brief review of the Fermi-Pasta-Ulam (FPU) paradox is given, together with its suggested resolutions and its relation to other physical problems. We focus on the ideas and concepts that have become the core of modern nonlinear mechanics, in their historical perspective. Starting from the first num...

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Bibliographic Details
Published inChaos (Woodbury, N.Y.) Vol. 15; no. 1; p. 15104
Main Authors Berman, G P, Izrailev, F M
Format Journal Article
LanguageEnglish
Published United States 01.03.2005
Subjects
Kinetics
Models, Statistical
Models, Theoretical
Nonlinear Dynamics
Physics - methods
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Summary:A brief review of the Fermi-Pasta-Ulam (FPU) paradox is given, together with its suggested resolutions and its relation to other physical problems. We focus on the ideas and concepts that have become the core of modern nonlinear mechanics, in their historical perspective. Starting from the first numerical results of FPU, both theoretical and numerical findings are discussed in close connection with the problems of ergodicity, integrability, chaos and stability of motion. New directions related to the Bose-Einstein condensation and quantum systems of interacting Bose-particles are also considered.
ISSN:1054-1500
DOI:10.1063/1.1855036