The Fermi-Pasta-Ulam problem: 50 years of progress

Details The Fermi-Pasta-Ulam problem: 50 years of progress The Fermi-Pasta-Ulam problem: 50 years of progress

2004-11-29

arxiv.org/abs/nlin/0411062v3

CHAOS, 15 (2005) 015104

Nonlinear Sciences

Chaotic Dynamics

48 pages, no figures, corrected and accepted for publication

Scientific paper

10.1063/1.1855036

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.

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