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Related papers: Chaotic diffusion in multi-scale turbulence

200 papers

Turbulence has associated chaotic features. In the past couple of decades there has been growing interest in the study of these features as an alternative means of understanding turbulent systems. Our own input to this effort has been in…

Fluid Dynamics · Physics 2024-09-04 Richard D. J. G. Ho , Daniel Clark , Arjun Berera

Observations and modelling suggest that the fluctuations in magnetised plasmas exhibit scale-dependent anisotropy, with more energy in the fluctuations perpendicular to the mean magnetic field than in the parallel fluctuations and the…

Solar and Stellar Astrophysics · Physics 2013-04-22 T. Laitinen , S. Dalla , J. Kelly , M. Marsh

Understanding the transport of energetic cosmic rays belongs to the most challenging topics in astrophysics. Diffusion due to scattering by electromagnetic fluctuations is a key process in cosmic-ray transport. The transition from a…

High Energy Astrophysical Phenomena · Physics 2020-09-02 P. Reichherzer , J. Becker Tjus , E. G. Zweibel , L. Merten , M. J. Pueschel

We derive rigorously the non-linear macroscopic system associated to a microscopic system of coupled quintic Schr\"odinger equations in the framework of discrete wave turbulence under a particular scaling law that describes the limiting…

Analysis of PDEs · Mathematics 2026-03-04 Shayan Zahedi

Momentum-scalar coupling turbulence, a phenomenon observed in both natural and engineering contexts, involves the intricate interaction between multicomponent scalars and multiscale forces (i.e. multiple coupling mechanisms), resulting in a…

Fluid Dynamics · Physics 2024-06-06 Wei Zhao

In particle-laden turbulent flows the turbulence in carrier fluid phase gets affected by the dispersed particle phase for volume fraction above $10^{-4}$ and hence reverse coupling or two-way coupling becomes relevant in that volume…

Fluid Dynamics · Physics 2022-09-14 Swagnik Ghosh , Partha Sarathi Goswami

The basic physics properties and simplified model descriptions of the paradigmatic "percolation" transport in low-frequency, electrostatic (anisotropic magnetic) turbulence are theoretically analyzed. The key problem being addressed is the…

Plasma Physics · Physics 2009-04-21 Alexander V. Milovanov

In this paper, we develop a model to describe the generalized wave-particle instability in a quasi-neutral plasma. We analyze the quasi-linear diffusion equation for particles by expressing an arbitrary unstable and resonant wave mode as a…

Space Physics · Physics 2020-10-22 Seong-Yeop Jeong , Daniel Verscharen , Robert T. Wicks , Andrew N. Fazakerley

It is shown, using direct numerical simulations and laboratory experiments data, that distributed chaos is often tuned to large scale coherent motions in anisotropic inhomogeneous turbulence. The examples considered are: fully developed…

Fluid Dynamics · Physics 2016-10-26 A. Bershadskii

In the study of weakly turbulent wave systems possessing incomplete self-similarity it is possible to use dimensional arguments to derive the scaling exponents of the Kolmogorov-Zakharov spectra, provided the order of the resonant wave…

Fluid Dynamics · Physics 2009-11-10 Colm Connaughton , Sergey Nazarenko , Alan C. Newell

The nonlinear interaction of waves in a driven medium may lead to wave turbulence, a state such that energy is transferred from large to small lengthscales. Here, wave turbulence is observed in experiments on a vibrating plate. The…

Chaotic Dynamics · Physics 2008-10-07 Arezki Boudaoud , Olivier Cadot , Benoît Odille , Cyril Touzé

Rotating turbulence is ubiquitous in nature. Previous works suggest that such turbulence could be described as an ensemble of interacting inertial waves across a wide range of length scales. For turbulence in macroscopic quantum…

Chaos often represents a severe obstacle for the set-up of many-body experiments, e.g., in fusion plasmas or turbulent flows. We propose a strategy to control chaotic diffusion in conservative systems. The core of our approach is a small…

Chaotic Dynamics · Physics 2007-05-23 Cristel Chandre , Guido Ciraolo , Fabrice Doveil , Ricardo Lima , Alessandro Macor , Michel Vittot

The nonlinear dynamics of circularly polarized dispersive Alfv{\'e}n wave (AW) envelopes coupled to the driven ion sound waves of plasma slow response is studied in a uniform magnetoplasma. By restricting the wave dynamics to a few number…

Plasma Physics · Physics 2023-03-07 S. Roy , A. Roy , A. P. Misra

This paper is concerned with the processes of spatial propagation and penetration of turbulence from the regions where it is locally excited into initially laminar regions. The phenomenon has come to be known as "turbulence spreading" and…

Pattern Formation and Solitons · Physics 2023-12-22 Alexander V. Milovanov , Jens Juul Rasmussen

The transport of charged energetic particles in the presence of strong intermittent heliospheric turbulence is computationally analyzed based on known properties of the interplanetary magnetic field and solar wind plasma at 1 Astronomical…

High Energy Astrophysical Phenomena · Physics 2015-06-18 Fathallah Alouani-Bibi , Jakobus A. le Roux

Turbulence is a ubiquitous phenomenon in space and astrophysical plasmas, driving a cascade of energy from large to small scales and strongly influencing the plasma heating resulting from the dissipation of the turbulence. Modern theories…

Plasma Physics · Physics 2015-06-11 G. G. Howes , D. J. Drake , K. D. Nielson , T. A. Carter , C. A. Kletzing , F. Skiff

Traveling waves triggered by a phase slip in coupled map lattices are studied. A local phase slip affects globally the system, which is in strong contrast with kink propagation. Attractors with different velocities coexist, and form…

chao-dyn · Physics 2009-10-22 Kunihiko Kaneko

We investigate the transport dynamics of elongated particles in cellular vortical flows that undergo spatial oscillations over time. Experimental flow visualizations reveal mixed flow fields with chaotic and elliptic regions coexisting.…

Fluid Dynamics · Physics 2025-08-14 Shiyuan Hu , Xiuyuan Yang , Nan Luo , Jun Zhang , Xingkun Man

We study a large-scale instability in a sheared nonhelical turbulence that causes generation of large-scale vorticity. Three types of the background large-scale flows are considered, i.e., the Couette and Poiseuille flows in a small-scale…

Fluid Dynamics · Physics 2009-11-13 T. Elperin , I. Golubev , N. Kleeorin , I. Rogachevskii