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Article
Peer-Review Record

Quantization of Integrable and Chaotic Three-Particle Fermi–Pasta–Ulam–Tsingou Models

Entropy 2023, 25(3), 538; https://doi.org/10.3390/e25030538
by Alio Issoufou Arzika 1,2, Andrea Solfanelli 2,3, Harald Schmid 4 and Stefano Ruffo 2,3,5,*
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Entropy 2023, 25(3), 538; https://doi.org/10.3390/e25030538
Submission received: 25 January 2023 / Revised: 13 March 2023 / Accepted: 14 March 2023 / Published: 21 March 2023

Round 1

Reviewer 1 Report

The paper consider the lowest N non trivial case of the anharmonic FPUT oscillators chain, namely N=3. This is a peculiar case since when only one of the nonlinear terms is present, the model is integrable, while the generic case is not, for intermediate values of the energy. The manuscript contains analytic calculations, where the nontrivial conserved quantity is derived, while numerical simulation of Poincaré sections is employed to illustrate the intermediate, chaotic behaviour. Correspondingly, in the quantum version of the system, a transition in the level statistics is observed, as expected. In the final part of the authors provide connections to the issue of thermalization, which is a topic that recently has attracted a lot of interest.
The paper is quite interesting, the results are sound, and it fits very well to the special issue, so I suggest publication.

Author Response

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Author Response File: Author Response.pdf

Reviewer 2 Report


Comments for author File: Comments.pdf

Author Response

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