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Measuring α-FPUT Cores and Tails

Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS), Daejeon 34126, Korea
Physics 2021, 3(4), 879-887;
Received: 25 August 2021 / Revised: 16 September 2021 / Accepted: 19 September 2021 / Published: 30 September 2021
(This article belongs to the Special Issue Dedication to Professor Michael Tribelsky: 50 Years in Physics)
Almost 70 years ago, the Fermi–Pasta–Ulam–Tsingou (FPUT) paradox was formulated in, observed in, and reported using normal modes of a nonlinear, one-dimensional, non-integrable string. Let us recap the paradox. One normal mode is excited, which drives three or four more normal modes in the core. Then, that is it for quite a long time. So why are many normal modes staying weakly excited in the tail? Furthermore, how many? A quantitative, analytical answer to the latter question is given here using resonances and secular avalanches A comparison with the previous numerical data is made and extremely good agreement is found. View Full-Text
Keywords: Fermi–Pasta–Ulam–Tsingou (FPUT) problem; normal modes; resonances; secular avalanche Fermi–Pasta–Ulam–Tsingou (FPUT) problem; normal modes; resonances; secular avalanche
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MDPI and ACS Style

Flach, S. Measuring α-FPUT Cores and Tails. Physics 2021, 3, 879-887.

AMA Style

Flach S. Measuring α-FPUT Cores and Tails. Physics. 2021; 3(4):879-887.

Chicago/Turabian Style

Flach, Sergej. 2021. "Measuring α-FPUT Cores and Tails" Physics 3, no. 4: 879-887.

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