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Related papers: Theory of the tertiary instability and the Dimits …

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The Dimits shift is the shift between the threshold of the drift-wave primary instability and the actual onset of turbulent transport in magnetized plasma. It is generally attributed to the suppression of turbulence by zonal flows, but…

Plasma Physics · Physics 2020-09-02 Hongxuan Zhu , Yao Zhou , I. Y. Dodin

The tertiary instability is believed to be important for governing magnetised plasma turbulence under conditions of strong zonal flow generation, near marginal stability. In this work, we investigate its role for a collisionless strongly…

Plasma Physics · Physics 2021-10-27 A. Hallenbert , G. G. Plunk

The Dimits shift, an upshift in the onset of turbulence from the linear instability threshold, caused by self-generated zonal flows, can greatly enhance the performance of magnetic confinement plasma devices. Except in simple cases, using…

Plasma Physics · Physics 2022-08-17 A. Hallenbert , G. G. Plunk

The two-dimensional Terry-Horton equation is shown to exhibit the Dimits shift when suitably modified to capture both the nonlinear enhancement of zonal/drift-wave interactions and the existence of residual Rosenbluth-Hinton states. This…

Plasma Physics · Physics 2017-11-15 Denis A. St-Onge

The Hasegawa-Wakatani equations, coupling plasma density and electrostatic potential through an approximation to the physics of parallel electron motions, are a simple model that describes resistive drift wave turbulence. We present…

Plasma Physics · Physics 2008-11-17 Ryusuke Numata , Rowena Ball , Robert L. Dewar

In a two-dimensional version of the modified Hasegawa-Wakatani (HW) model, which describes electrostatic resistive drift wave turbulence, the resistive coupling between vorticity and density does not act on the zonal components ($k_{y}=0$).…

Plasma Physics · Physics 2016-11-09 R. Numata , R. Ball , R. L. Dewar

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

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

The saturated state of turbulence driven by the ion-temperature-gradient instability is investigated using a two-dimensional long-wavelength fluid model that describes the perturbed electrostatic potential and perturbed ion temperature in a…

Plasma Physics · Physics 2023-01-18 P. G. Ivanov , A. A. Schekochihin , W. Dorland , A. R. Field , F. I. Parra

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

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 show that the recently introduced two-field flux-balanced Hasegawa-Wakatani (BHW) model captures the key features of drift-wave turbulent transport mediated by zonal flows observed in more complete and accurate gyrokinetic simulations,…

Plasma Physics · Physics 2020-10-28 Di Qi , Andrew J. Majda , Antoine J. Cerfon

We consider a one-dimensional oscillatory medium with a coupling through a diffusive linear field. In the limit of fast diffusion this setup reduces to the classical Kuramoto-Battogtokh model. We demonstrate that for a finite diffusion…

Pattern Formation and Solitons · Physics 2022-05-11 L. A. Smirnov , M. I. Bolotov , D. I. Bolotov , G. V. Osipov , A. Pikovsky

The toroidal geometry of tokamaks and stellarators is known to play a crucial role in the linear physics of zonal flows, leading to e.g. the Rosenbluth-Hinton residual and geodesic acoustic modes. However, descriptions of the nonlinear…

Plasma Physics · Physics 2026-03-11 Richard Nies , Felix Parra

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

Formation of turbulence of capillary waves is studied in laboratory experiments. The spectra show multiple exponentially decreasing harmonics of the parametrically excited wave which nonlinearly broaden with the increase in forcing.…

Fluid Dynamics · Physics 2010-07-26 H. Xia , M. Shats , H. Punzmann

We extend our previous work on the 2D Dimits transition in ion-scale turbulence (Ivanov et al. 2020) to include variations along the magnetic field. We consider a three-field fluid model for the perturbations of electrostatic potential, ion…

Plasma Physics · Physics 2022-10-14 Plamen G. Ivanov , Alexander A. Schekochihin , William Dorland

The Generalized Hasegawa-Mima (GHM) equation, which generalizes the standard Hasegawa-Mima (HM) equation, is a nonlinear equation describing the evolution of drift wave turbulence in curved magnetic fields. The GHM equation can be obtained…

Plasma Physics · Physics 2024-01-02 Naoki Sato , Michio Yamada

The conventional ion temperature gradient or \eta_i mode is known to propagate in the ion diamagnetic direction. Investigation of a generic drift fluid model with warm ions and adiabatic electrons, reveals that as \eta_i decreases, the…

Plasma Physics · Physics 2022-03-17 Z. Y. Liu , Y. Z. Zhang , S. M. Mahajan , T. Xie

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
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