@article{64bc7b08c1584b6c9ae2d46ff08242c7,

title = "Direct Verification of the Kinetic Description of Wave Turbulence for Finite-Size Systems Dominated by Interactions among Groups of Six Waves",

abstract = "The present work considers systems whose dynamics are governed by the nonlinear interactions among groups of 6 nonlinear waves, such as those described by the unforced quintic nonlinear Schr{\"o}dinger equation. Specific parameter regimes in which ensemble-averaged dynamics of such systems with finite size are accurately described by a wave kinetic equation, as used in wave turbulence theory, are theoretically predicted. In addition, the underlying reasons that the wave kinetic equation may be a poor predictor of wave dynamics outside these regimes are also discussed. These theoretical predictions are directly verified by comparing ensemble averages of solutions to the dynamical equation with corresponding solutions of the wave kinetic equation.",

author = "Banks, {J. W.} and T. Buckmaster and Korotkevich, {A. O.} and G. Kova{\v c}i{\v c} and J. Shatah",

note = "Funding Information: The authors are grateful for support from the Simons Collaboration on Wave Turbulence (Awards No. 617006 and No. 651459). We also acknowledge NSF support No. DMS-1900149, No. DMS-1615859 and No. DMS-1363013. The simulations presented in this article were performed using the Princeton Research Computing resources at Princeton University and NYU IT High Performance Computing resources. We would like to thank P. Kramer and Y. Lvov for useful suggestions. Funding Information: The authors are grateful for support from the Simons Collaboration on Wave Turbulence (Awards No. 617006 and No. 651459). We also acknowledge NSF support No. DMS-1900149, No. DMS-1615859 and No. DMS-1363013. The simulations presented in this article were performed using the Princeton Research Computing resources at Princeton University and NYU IT High Performance Computing resources. We would like to thank P. Kramer and Y. Lvov for useful suggestions. Publisher Copyright: {\textcopyright} 2022 American Physical Society.",

year = "2022",

month = jul,

day = "15",

doi = "10.1103/PhysRevLett.129.034101",

language = "English (US)",

volume = "129",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "3",

}