Verification of Wave Turbulence Theory in the Kinetic Limit
Physical Review Research(2023)
摘要
Using the 1D Majda-McLaughlin-Tabak model as an example, we develop numerical
experiments to study the validity of wave kinetic equation (WKE) at the kinetic
limit (i.e., small nonlinearity and large domain). We show for the first time
that the dynamics converges to the WKE prediction, in terms of the closure
model and energy flux, when the kinetic limit is approached. When the kinetic
limit is combined with a process of widening the inertial range, the
theoretical Kolmogorov constant can be recovered numerically with a very high
precision.
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