Direct Verification of the Kinetic Description of Wave Turbulence for FiniteSize 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 Schrödinger equation. Specific parameter regimes in which ensembleaveraged 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.
 Publication:

Physical Review Letters
 Pub Date:
 July 2022
 DOI:
 10.1103/PhysRevLett.129.034101
 arXiv:
 arXiv:2109.02477
 Bibcode:
 2022PhRvL.129c4101B
 Keywords:

 Physics  Fluid Dynamics;
 Nonlinear Sciences  Chaotic Dynamics
 EPrint:
 5 pages, 3 figures