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The central object in wave turbulence theory is the wave kinetic equation (WKE), which is an evolution equation for wave action density and acts as the wave analog of the Boltzmann kinetic equations for particle interactions. Despite recent…

Numerical Analysis · Mathematics 2026-04-21 Kunlun Qi , Lian Shen , Li Wang

Ocean turbulence plays a key role in shaping large-scale circulation, heat uptake, and biogeochemical processes. The kinetic energy (KE) wavenumber spectrum is a fundamental diagnostic, quantifying how KE is distributed across spatial…

Atmospheric and Oceanic Physics · Physics 2026-05-12 Ayantika Bhattacharjee , Spencer Jones , Dhruv Balwada , Shane Elipot , Manuel Gutierrez-Villanueva

We report evaluations of a resonant kinetic equation that suggest the slow time evolution of the Garrett and Munk spectrum is {\em not}, in fact, slow. Instead nonlinear transfers lead to evolution time scales that are smaller than one wave…

Fluid Dynamics · Physics 2020-06-05 Yuri V. Lvov , Kurt L. Polzin , Naoto Yokoyama

The quantum-resonant evolution of the mean kinetic energy (MKE) of the kicked particle is studied in detail on different time scales for {\em general} kicking potentials. It is shown that the asymptotic time behavior of a wave-packet MKE is…

Chaotic Dynamics · Physics 2007-05-23 Itzhack Dana , Dmitry L. Dorofeev

As presented in Annenkov & Shrira (2009), when a surface gravity wave field is subjected to an abrupt perturbation of external forcing, its spectrum evolves on a ``fast'' dynamic time scale of $O(\varepsilon^{-2})$, with $\varepsilon$ a…

Fluid Dynamics · Physics 2023-05-24 Ashleigh Simonis , Alexander Hrabski , Yulin Pan

We report an analysis of the stretching peak appearing in the IR experimental spectra of liquid water. In the literature, ATR-IR spectroscopic measurements were repeatedly performed in a wide range of temperature and gave rise to a lively…

Soft Condensed Matter · Physics 2013-10-03 A. De Ninno , E. Del Giudice , L. Gamberale , A. Congiu Castellano

We obtain time-resolved spectra of spontaneous emission and resonance fluorescence of a single multilevel emitter where two antiparallel transitions interfere and cause quantum beats. After rising as a single broad peak, the spontaneous…

Quantum Physics · Physics 2025-01-07 Héctor M. Castro-Beltrán , Ricardo Román-Ancheyta

Starting from the density-matrix equation of motion, we derive a semiclassical kinetic equation for a general two-band electronic Hamiltonian, systematically including quantum-mechanical corrections up to second order in space-time…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 Clement H. Wong , Yaroslav Tserkovnyak

We study the dynamics of a two-level quantum system interacting with an external electromagnetic field periodic and quasiperiodic in time. The quantum evolution is described exactly by the classical equations of motion of a gyromagnet in a…

Quantum Physics · Physics 2009-11-11 Renato M. Angelo , Walter F. Wreszinski

Many new models of wave turbulence -- frozen, mesoscopic, laminated, decaying, sand-pile, etc. -- have been developed in the last decade aiming to solve problems seemingly not solvable in the framework of the existing wave turbulence theory…

Fluid Dynamics · Physics 2014-06-17 Elena Tobisch

Two-frequency radiative transfer (2f-RT) theory is developed for classical waves in random media. Depending on the ratio of the wavelength to the scale of medium fluctuation 2f-RT equation is either a Boltzmann-like integral equation with a…

Optics · Physics 2009-11-13 Albert C. Fannjiang

In this paper, we numerically study the wave turbulence of surface gravity waves in the framework of Euler equations of the free surface. The purpose is to understand the variation of the scaling of the spectra with wavenumber $k$ and…

Fluid Dynamics · Physics 2023-06-22 Zhou Zhang , Yulin Pan

Stratification can cause turbulence spectra to deviate from Kolmogorov's isotropic -5/3 power-law scaling in the universal equilibrium range at high Reynolds numbers. However, a consensus has not been reached with regard to the exact shape…

Fluid Dynamics · Physics 2018-10-22 Yu Cheng , Qi Li , Stefania Argentini , Chadi Sayde , Pierre Gentine

We test the predictions of the theory of weak wave turbulence by performing numerical simulations of the Gross-Pitaevskii equation (GPE) and the associated wave-kinetic equation (WKE). We consider an initial state localized in Fourier…

Fluid Dynamics · Physics 2022-07-11 Ying Zhu , Boris Semisalov , Giorgio Krstulovic , Sergey Nazarenko

In this paper we study a new generalization of the kinetic equation emerging in run-and-tumble models. We show that this generalization leads to a wide class of generalized fractional kinetic (GFK) and telegraph-type equations depending by…

Statistical Mechanics · Physics 2024-10-15 Luca Angelani , Alessandro De Gregorio , Roberto Garra

This technical note addresses the challenge of accurate turbulence characterization using robust, bandwidth-limited sensors which fail to resolve the high-wavenumber dissipation range. To correct the resulting underestimation of turbulent…

Fluid Dynamics · Physics 2025-12-25 Rishabh Mishra

Turbulent behavior of the two-parameter family of generalized surface quasigeostrophic equations is examined both rigorously and numerically. We adapt a cascade mechanism argument to derive an energy spectrum that scales as…

Fluid Dynamics · Physics 2025-10-20 Chengzhang Fu , Michael S. Jolly , Anuj Kumar , Vincent R. Martinez

We use continuous wavelet transform techniques to construct the global and environment-dependent wavelet statistics, such as energy spectrum and kurtosis, to study the fluctuation and intermittency of the turbulent motion in the cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-10 Yun Wang , Ping He

Laboratory study was set out to investigate the flow structure and turbulent kinetic energy ($TKE$) within mangrove forest considering flexible canopies and rigid stems under various wave conditions. Canopies and stems have different…

Fluid Dynamics · Physics 2023-06-07 Zhengyu Hu

Traditional turbulence models are derived for single-phase flow. Extension of the family of two-equation turbulence models for two-phase flow is obtained via scaling the transport equations by the density. In the special case of two-phase…

Fluid Dynamics · Physics 2023-11-28 Omar Elsayed , Benjamin Bouscasse , Maité Gouin , David Le Touzé
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