Some Analytic Results on the FPU Paradox

We present some analytic results aiming at explaining the lack of thermalization observed by Fermi Pasta and Ulam in their celebrated numerical experiment. In particular we focus on results which persist as the number N of particles tends to infinity. After recalling the FPU experiment and some classical heuristic ideas that have been used for its explanation, we concentrate on more recent rigorous results which are based on the use of (i) canonical perturbation theory and KdV equation, (ii) Toda lattice, (iii) a new approach based on the construction of functions which are adiabatic invariants with large probability in the Gibbs measure.

• Publication year

  2014

• Venue

  arXiv: Mathematical Physics

• Publication date

  2014-06-16

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.1007/978-1-4939-2950-4_8arXiv 1406.4066
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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