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Related papers: Modulational Instability in Basic Plasma and Geoph…

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A detailed study of the Charney-Hasegawa-Mima model and its extensions is presented. These simple nonlinear partial differential equations suggested for both Rossby waves in the atmosphere and also drift waves in a magnetically-confined…

Fluid Dynamics · Physics 2016-01-20 Colm Connaughton , Sergey Nazarenko , Brenda Quinn

We study the modulational instability of geophysical Rossby and plasma drift waves within the Charney-Hasegawa-Mima (CHM) model both theoretically, using truncated (four-mode and three-mode) models, and numerically, using direct simulations…

Chaotic Dynamics · Physics 2011-05-24 Colm Connaughton , Balu Nadiga , Sergey Nazarenko , Brenda Quinn

We demonstrate theoretically and numerically the zonal-flow/drift-wave feedback mechanism for the LH transition in an idealised model of plasma turbulence driven by a small scale instability. Zonal flows are generated by a secondary…

Chaotic Dynamics · Physics 2010-12-17 Colm Connaughton , Sergey Nazarenko , Brenda Quinn

This paper gives a pedagogic review of the envelope formalism for excitation of zonal flows by nonlinear interactions of plasma drift waves or Rossby waves, described equivalently by the Hasegawa-Mima (HM) equation or the quasigeostrophic…

Plasma Physics · Physics 2016-11-09 R. L. Dewar , R. F. Abdullatif

It is shown that magnetic islands generated by pressure-gradient-driven turbulence are common across a wide range of conditions. The interaction among turbulence, magnetic island and other large scale structures (the zonal flow and the…

Plasma Physics · Physics 2025-07-01 Daniele Villa , Nicolas Dubuit , Olivier Agullo , Xavier Garbet

Plasma turbulence described by the Hasegawa-Wakatani equations has been simulated numerically for different models and values of the adiabaticity parameter C. It is found that for low values of C turbulence remains isotropic, zonal flows…

Plasma Physics · Physics 2013-05-01 Andrey V. Pushkarev , Wouter J. T. Bos , Sergey V. Nazarenko

A new strategy is presented to explain the creation and persistence of zonal flows widely observed in plasma edge turbulence. The core physics in the edge regime of the magnetic-fusion tokamaks can be described qualitatively by the…

Plasma Physics · Physics 2019-01-28 Di Qi , Andrew J. Majda

In geophysical and plasma contexts, zonal flows are well known to arise out of turbulence. We elucidate the transition from statistically homogeneous turbulence without zonal flows to statistically inhomogeneous turbulence with steady zonal…

Plasma Physics · Physics 2015-03-25 Jeffrey B. Parker

A novel coalescence process is shown to take place in plasma fluid simulations, leading to the formation of large-scale magnetic islands that become dynamically important in the system. The parametric dependence of the process on the plasma…

Plasma Physics · Physics 2024-12-13 Daniele Villa , Nicolas Dubuit , Olivier Agullo , Xavier Garbet

We investigate the drift wave -- zonal flow dynamics in a shearless slab geometry with the new flux-balanced Hasegawa-Wakatani model. As in previous Hasegawa-Wakatani models, we observe a sharp transition from a turbulence dominated regime…

Plasma Physics · Physics 2019-09-04 Di Qi , Andrew J. Majda , Antoine J. Cerfon

The formation of zonal flows and vortices in the generalized Charney-Hasegawa-Mima equation is studied. We focus on the regime when the size of structures is comparable to or larger than the deformation (Rossby) radius. Numerical…

chao-dyn · Physics 2009-10-28 Nikolai Kukharkin , Steven A. Orszag

Zonal flows are well known to arise spontaneously out of turbulence. We show that for statistically averaged equations of the stochastically forced generalized Hasegawa-Mima model, steady-state zonal flows and inhomogeneous turbulence fit…

Atmospheric and Oceanic Physics · Physics 2013-10-30 Jeffrey B. Parker , John A. Krommes

In this section, we examine the transition from statistically homogeneous turbulence to inhomogeneous turbulence with zonal flows. Statistical equations of motion can be derived from the quasilinear approximation to the Hasegawa-Mima…

Plasma Physics · Physics 2015-03-27 Jeffrey B. Parker , John A. Krommes

We propose a new reduced fluid model for the study of the drift wave -- zonal flow dynamics in magnetically confined plasmas. Our model can be viewed as an extension of the classic Hasegawa-Wakatani (HW) model, and is based on an improved…

Plasma Physics · Physics 2018-11-14 Andrew J. Majda , Di Qi , Antoine J. Cerfon

Strongly driven ion-scale turbulence in tokamak plasmas is shown to be regulated by a new propagating zonal flow mode, the toroidal secondary mode, which is nonlinearly supported by the turbulence. The mode grows and propagates due to the…

Plasma Physics · Physics 2026-03-24 Richard Nies , Felix Parra , Michael Barnes , Noah Mandell , William Dorland

Magnetized plasmas with equilibrium density gradients support drift-wave turbulence, which is often regulated by self-generated zonal flows. In this work, we experimentally examine the effect of increasing the magnetic field on turbulence…

We present a theory of the nonlinear growth of zonal flows in magnetized plasma turbulence, by the mechanism of secondary instability. The theory is derived for general magnetic geometry, and is thus applicable to both tokamaks and…

Plasma Physics · Physics 2017-02-21 G. G. Plunk , A. Bañón Navarro

Resistive drift wave turbulence is a multipurpose paradigm that can be used to understand transport at the edge of fusion devices. The Hasegawa-Wakatani model captures the essential physics of drift turbulence while retaining the simplicity…

Plasma Physics · Physics 2017-06-12 Johan Anderson , Bogdan Hnat

Turbulence driven zonal flows play an important role in fusion devices since they improve plasma confinement by limiting the level of anomalous transport. Current theories mostly focus on flow excitation but do not self-consistently…

Plasma Physics · Physics 2011-06-13 Niels Guertler , Klaus Hallatschek

We derive a model equation describing electrostatic plasma turbulence in general (inhomogeneous and curved) magnetic fields by analysing the effect of curved geometry on the ion fluid polarization drift velocity. The derived nonlinear…

Plasma Physics · Physics 2022-07-08 Naoki Sato , Michio Yamada
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