Wave Turbulence Formalism

Nazarenko, S.

doi:10.1007/978-3-642-15942-8_6

Cited by 144 publications

(417 citation statements)

References 17 publications

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“…The fraction of the energy in these modes decreases with decreasing Fr, in good agreement with the observed accumulation near τ ω = τ NL for large Fr. The slow down of the transfer as the energy reaches the ridge is compatible with critical balance arguments [31], and is also of great importance in weak wave turbulence theories [32] that require the energy of the system to remain in weakly interacting waves. Note however that this distinction between waves and vortical modes in Fig.…”

Section: A Spatial Spectral Analysissupporting

confidence: 58%

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Absorption of waves by large-scale winds in stratified turbulence

Leoni

Mininni

2015

Phys. Rev. E

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The atmosphere is a nonlinear stratified fluid in which internal gravity waves are present. These waves interact with the flow, resulting in wave turbulence that displays important differences with the turbulence observed in isotropic and homogeneous flows. We study numerically the role of these waves and their interaction with the large scale flow, consisting of vertically sheared horizontal winds. We calculate their space and time resolved energy spectrum (a four-dimensional spectrum), and show that most of the energy is concentrated along a dispersion relation that is Doppler shifted by the horizontal winds. We also observe that when uniform winds are let to develop in each horizontal layer of the flow, waves whose phase velocity is equal to the horizontal wind speed have negligible energy. This indicates a nonlocal transfer of their energy to the mean flow. Both phenomena, the Doppler shift and the absorption of waves traveling with the wind speed, are not accounted for in current theories of stratified wave turbulence.

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Section: A Spatial Spectral Analysissupporting

confidence: 58%

“…Recently, weak turbulence theory [31,32] has also been used to study stratified turbulence, although only considering the coupling between the waves and not with the eddies. While this theory can give information on the formation of the nonlinear energy cascade, it cannot characterize interactions of the wave field with a mean flow.…”

Section: Introductionmentioning

confidence: 99%

Absorption of waves by large-scale winds in stratified turbulence

Leoni

Mininni

2015

Phys. Rev. E

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“…This is called the Kibble-Zurek mechanism that can be illustrated by various systems, from different kinds of condensed matter to cosmological objects [1-5, 47, 48]. In the particular case of nonequilibrium Bose condensation, the equilibration process starts with the nonequilibrium state of wave turbulence and ends in an equilibrium Bose-condensed state [49,50].…”

Section: Discussionmentioning

confidence: 99%

Realization of inverse Kibble–Zurek scenario with trapped Bose gases

2015

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We show that there exists the inverse Kibble-Zurek scenario, when we start with an equilibrium system with broken symmetry and, by imposing perturbations, transform it to a strongly nonequilibrium symmetric state through the sequence of states with spontaneously arising topological defects. We demonstrate the inverse Kibble-Zurek scenario both experimentally, by perturbing the Bose-Einstein condensate of trapped 87 Rb atoms, and also by accomplishing numerical simulations for the same setup as in the experiment, the experimental and numerical results being in good agreement with each other.

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“…The phenomenon of turbulence appears in many areas of our experience ranging from atmospheric and oceanic rogue events, aero-and hydrodynamics, optics to cardiology and neurophysiology [1,5,[7][8][9][10][11][12][13]. Such a broad class of phenomena cannot be grasped by some single and simple model.…”

Section: Analogy Between Ds and Turbulencementioning

confidence: 99%

Self-Organization, Coherence and Turbulence in Laser Optics

Калашников¹,

Sorokin²

2018

Complexity in Biological and Physical Systems - Bifurcations, Solitons and Fractals

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In the last decades, rapid progress in modern nonlinear science was marked by the development of the concept of dissipative soliton (DS). This concept is highly useful in many different fields of science ranging from field theory, optics, and condensed matter physics to biology, medicine, and even sociology. This chapter aims to present a DS appearance from random fluctuations, development, and growth, the formation of the nontrivial internal structure of mature DS and its breakup, in other words, a full life cycle of DS as a self-organized object. Our extensive numerical simulations of the generalized cubicquintic nonlinear Ginzburg-Landau equation, which models, in particular, dynamics of mode-locked fiber lasers, demonstrate a close analogy between the properties of DS and the general properties of turbulent and chaotic systems. In particular, we show a disintegration of DS into a noncoherent (or partially coherent) multisoliton complex. Thus, a DS can be interpreted as a complex of nonlinearly coupled coherent "internal modes" that allows developing the kinetic and thermodynamic theory of the nonequilibrious dissipative phenomena. Also, we demonstrate an improvement of DS integrity and, as a result, its disintegration suppression due to noninstantaneous nonlinearity caused by the stimulated Raman scattering. This effect leads to an appearance of a new coherent structure, namely, a dissipative Raman soliton.

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Wave Turbulence Formalism

Cited by 144 publications

References 17 publications

Absorption of waves by large-scale winds in stratified turbulence

Absorption of waves by large-scale winds in stratified turbulence

Realization of inverse Kibble–Zurek scenario with trapped Bose gases

Self-Organization, Coherence and Turbulence in Laser Optics

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