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Zonal flows are known to diminish turbulent transport in magnetic fusion. Interstingly, there is an adiabatic invariant that implies the emergence of zonal flow. The paper shows that if this invariant is decreasing (due to some external…

Plasma Physics · Physics 2023-09-12 Alexander Balk

This paper is concerned with the detailed behaviour of roll-waves undergoing a low-frequency perturbation. We rst derive the so-called Whitham's averaged modulation equations and relate the well-posedness of this set of equations to the…

Analysis of PDEs · Mathematics 2010-11-11 Pascal Noble , Luis Miguel Rodrigues

The local properties of turbulence driven by the magnetorotational instability (MRI) in rotating, shearing flows are studied in the framework of a shearing-box model. Based on numerical simulations, we propose that the MRI-driven turbulence…

Solar and Stellar Astrophysics · Physics 2015-12-14 Justin Walker , Geoffroy Lesur , Stanislav Boldyrev

Turbulence simulations play a key role in advancing the general understanding of the physical properties turbulence and in interpreting astrophysical observations of turbulent plasmas. For the sake of simplicity, however, turbulence…

Astrophysics of Galaxies · Physics 2020-02-05 Philipp Grete , Brian W. O'Shea , Kris Beckwith

In this paper we study a simple model consisting of a dilute fully ionized plasma in the presence of the gravitational and a constant magnetic field to analyze the propagation of hydromagnetic instabilities. In particular we show that the…

Astrophysics · Physics 2007-05-23 A. Sandoval-Villalbazo , L. S. Garcia-Colin , A. Arrieta

The maximum magnetic field strength generated by Weibel-type plasma instabilities is estimated for typical conditions in the interstellar medium. The relevant kinetic dispersion relations are evaluated by conducting a parameter study both…

High Energy Astrophysical Phenomena · Physics 2015-06-16 R. C. Tautz , J. Triptow

The interaction between planetary waves and an arbitrary zonal flow is studied from a phase-space viewpoint. Using the Wigner distribution, a planetary wave Vlasov equation is derived that includes the contribution of the mean flow to the…

Fluid Dynamics · Physics 2010-10-27 Robin D. Wordsworth

For H-mode, standard decorrelation theory predicts that it is the turbulence intensity $|\phi_k|^2$ that is mainly affected via flow-induced shearing of turbulent eddies. However, for other regimes (e.g. I-mode, characterized by high energy…

Plasma Physics · Physics 2019-10-01 M. Leconte , R. Singh

Turbulence in rotating Magneto-hydrodynamic systems is studied theoretically and numerically. In the linear limit, when the velocity and magnetic perturbations are small, the system supports two types of waves. When the rotation effects are…

Plasma Physics · Physics 2020-01-08 Nicholas Bell , Sergey Nazarenko

The chaotic dynamics of small-scale vorticity plays a key role in understanding and controlling turbulence, with direct implications for energy transfer, mixing, and coherent structure evolution. However, measuring or controlling its…

Collective response dynamics of a strongly coupled system departs from the continuum phase upon transition to the quasicrystalline phase, or formation of a Wigner lattice. The wave nonlinearity leading to the modulational instability in…

Plasma Physics · Physics 2023-01-25 Sandip Dalui , Prince Kumar , Devendra Sharma

We review recent results on the nonlinear development of thermal instability in the context of the turbulent atomic interstellar medium (ISM). First, we pre- sent a brief summary of the linear theory, remarking that, in the atomic ISM, the…

This present study deals with the dissipative instability that appears in a compressible partially ionised plasma slab embedded in a uniform magnetic field, modelling the state of the plasma in solar prominences. In the partially ionised…

Solar and Stellar Astrophysics · Physics 2018-02-28 J. F. Mather , I. Ballai , R. Erdelyi

In the complex 3D magnetic fields of stellarators, ion-temperature-gradient turbulence is shown to have two distinct saturation regimes, as revealed by petascale numerical simulations, and explained by a simple turbulence theory. The first…

Plasma Physics · Physics 2017-10-02 G. G. Plunk , P. Xanthopoulos , P. Helander

We revisit on rational solution of Sasa-Satsuma equation, which can be used to describe evolution of optical field in a nonlinear fiber with some high-order effects. We find a striking dynamical process which involves both modulational…

Pattern Formation and Solitons · Physics 2016-04-08 Li-Chen Zhao , Sheng-Chang Li , Liming Ling

A reduction of total mean turbulent pressure due to the presence of magnetic fields was previously shown to be a measurable effect in direct numerical simulations. However, in the studied parameter regime the formation of large-scale…

Solar and Stellar Astrophysics · Physics 2012-04-09 Koen Kemel , Axel Brandenburg , Nathan Kleeorin , Igor Rogachevskii

Transitionally turbulent flows frequently exhibit spatiotemporal intermittency, reflecting a complex interplay between driving forces, dissipation, and transport present in these systems. When this intermittency manifests as observable…

Plasma Physics · Physics 2023-09-28 Norman M. Cao , Di Qi

This paper reports the stability conditions for intense zonal flows (ZFs) and the growth rate $\gamma_{\rm TI}$ of the corresponding "tertiary" instability (TI) within the generalized Hasegawa--Mima plasma model. The analytic calculation…

Plasma Physics · Physics 2018-08-29 Hongxuan Zhu , Yao Zhou , I. Y. Dodin

A linearly unstable, sinusoidal $E \times B$ shear flow is examined in the gyrokinetic framework in both the linear and nonlinear regimes. In the linear regime, it is shown that the eigenmode spectrum is nearly identical to hydrodynamic…

Plasma Physics · Physics 2019-03-27 A. E. Fraser , M. J. Pueschel , P. W. Terry , E. G. Zweibel

Basic physics of drift-wave turbulence and zonal flows has long been studied within the framework of wave-kinetic theory. Recently, this framework has been re-examined from first principles, which has led to more accurate yet still…

Plasma Physics · Physics 2021-03-17 Hongxuan Zhu , I. Y. Dodin
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