The Fermi–Pasta–Ulam problem as a challenge for the foundations of physics

The Fermi–Pasta–Ulam (FPU) problem is discussed in connection with its physical relevance, and it is shown how apparently there exist only two possibilities: either the FPU problem is just a curiosity, or it has a fundamental role for the foundations of physics, casting a new light on the relations...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2005-03, Vol.15 (1), p.015105-015105-8
Main Authors: Carati, A., Galgani, L., Giorgilli, A.
Format: Article
Language:English
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Summary:The Fermi–Pasta–Ulam (FPU) problem is discussed in connection with its physical relevance, and it is shown how apparently there exist only two possibilities: either the FPU problem is just a curiosity, or it has a fundamental role for the foundations of physics, casting a new light on the relations between classical and quantum mechanics. To this end, a short review is given of the main conceptual proposals that have been advanced. Particular emphasis is given to the perspective of a metaequilibrium scenario, which appears to be the only possible one for the FPU paradox to survive in the physically relevant case of infinitely many particles.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.1861264