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Updated: Sep 3, 2025

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Direct Verification of the Kinetic Description of Wave Turbulence for Finite-Size Systems Dominated by Interactions
J W Banks1, T Buckmaster2, A O Korotkevich3,4
1Mathematics Sciences Department, Rensselaer Polytechnic Institute, 110 8th Street, Troy, New York 12180, USA.
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 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.
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