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Updated: Dec 14, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Effects of coherent dynamics of stochastic deep-water waves
1National Research University-Higher School of Economics, 25 Bol'shaya Pechorskaya Street, Nizhny Novgorod 603950, Russia; Institute of Applied Physics, 46 Ulyanova Street, Nizhny Novgorod 603950, Russia; and Nizhny Novgorod State Technical University n.a. R.E. Alekseev, 24 Minina Street, Nizhny Novgorod 603950, Russia.
Abstract:
A method of windowed spatiotemporal spectral filtering is proposed to segregate different nonlinear wave components and to calculate the surface of free waves. The dynamic kurtosis (i.e., produced by the free wave component) is shown able to contribute essentially to the abnormally large values of the surface displacement kurtosis, according to the direct numerical simulations of realistic sea waves. In this situation the free wave stochastic dynamics is strongly non-Gaussian, and the kinetic equation for sea surface waves fails. Traces of coherent wave patterns are found in the Fourier transform of the directional irregular sea waves; they may form "jets" in the Fourier domain which strongly violate the classic dispersion relation.
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