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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

We propose a quantitative model of ion temperature gradient driven turbulence in toroidal magnetized plasmas. In this model, the turbulence is regulated by zonal flows, i.e. mode saturation occurs by a zonal-flow-mediated energy cascade…

Plasma Physics · Physics 2015-03-09 G. G. Plunk , A. Bañón Navarro , F. Jenko

We present the first gyrokinetic simulations of multiscale turbulence in a stellarator, using the magnetic geometry of Wendelstein 7-X (W7-X) and experimentally relevant parameters. A broad range of scenarios is explored, including regimes…

Plasma Physics · Physics 2025-08-11 G. Merlo , A. Bañón Navarro , T. Görler , F. Jenko , F. Wilms

Microtearing instability is one of the major sources of turbulent transport in high-$\beta$ tokamaks. These modes lead to very localized transport at low-order rational magnetic field lines, and we show that flattening of the local electron…

Plasma Physics · Physics 2024-09-17 Ajay C. J. , Ben McMillan , M. J. Pueschel

This paper reports on 3D numerical simulations of dynamics and thermodynamics in the diffuse ISM. Our models are local, account for sheared galactic rotation, magnetic fields, and realistic cooling, and resolve scales ~1-200 pc. This…

Astrophysics · Physics 2009-11-11 Robert A. Piontek , Eve C. Ostriker

In stellarators, zonal flow activity depends sensitively on geometry of the three dimensional magnetic field, via an interplay of mechanisms that is not fully understood. In this work, we investigate this by studying three magnetic…

Plasma Physics · Physics 2020-10-01 C. D. Mora Moreno , J. H. E. Proll , G. G. Plunk , P. Xanthopoulos

The transition between turbulent and zonal flow dominated states is investigated by varying the ion temperature gradient in nonlinear gyrokinetic simulations. Independent gradient scans reveal three distinct regimes: a turbulent regime at…

Plasma Physics · Physics 2026-05-27 L. N. Marquant , P. Morel , Ö. D. Gürcan

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

Global gyrokinetic simulations find a strong suppression of ion temperature gradient (ITG) turbulence by zonal flows in stellarators optimized for neoclassical transport. The reduction of the ITG transport by the zonal flows in…

Plasma Physics · Physics 2025-05-29 Haotian Chen , Xishuo Wei , Hongxuan Zhu , Zhihong Lin

Turbulent transport is known to limit the plasma confinement of present-day optimized stellarators. To address this issue, a novel method to strongly suppress turbulence in such devices is proposed, namely the resonant wave-particle…

Plasma Physics · Physics 2020-09-09 Alessandro Di Siena , Alejandro Banon Navarro , Frank Jenko

In fusion devices, the geometry of the confining magnetic field has a significant impact on the instabilities that drive turbulent heat loss. This is especially true of stellarators, where the "trapped electron mode" (TEM) is stabilised if…

The transport of heat out of tokamak plasmas by turbulence is the dominant mechanism limiting the performance of fusion reactors. Turbulence can be driven by the ion temperature gradient (ITG) and suppressed by toroidal sheared flows.…

Plasma Physics · Physics 2017-03-20 Ferdinand van Wyk

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

Tokamak turbulence, driven by the ion-temperature gradient and occurring in the presence of flow shear, is investigated by means of local, ion-scale, electrostatic gyrokinetic simulations (with both kinetic ions and electrons) of the…

Plasma Physics · Physics 2017-01-10 F. van Wyk , E. G. Highcock , A. A. Schekochihin , C. M. Roach , A. R. Field , W. Dorland

Results of a three-dimensional, flux-driven, electrostatic, global, two-fluid turbulence simulation for a 5-field period stellarator with an island divertor are presented. The numerical simulation is carried out with the GBS code, recently…

Plasma Physics · Physics 2022-06-01 A. J. Coelho , J. Loizu , P. Ricci , M. Giacomin

Optimised stellarators and other magnetic-confinement devices having the property that the average magnetic curvature is favourable for all particle orbits are called maximum-$J$ devices, and have recently been shown to be immune to…

Plasma Physics · Physics 2017-08-15 G. G. Plunk , J. W. Connor , P. Helander

The role of self-generated zonal flows in the collisionless trapped-electron mode (CTEM) turbulence is a long-standing open issue in tokamak plasmas. Here we show, for the first time, that the zonal flow excitation in the CTEM turbulence is…

Plasma Physics · Physics 2022-01-26 Haotian Chen , Liu Chen

Nonlinear electromagnetic stabilization by suprathermal pressure gradients found in specific regimes is shown to be a key factor in reducing tokamak microturbulence, augmenting significantly the thermal pressure electromagnetic…

Electrostatic gyrokinetic instabilities and turbulence in the Wendelstein 7-X stellarator are studied. Particular attention is paid to the ion-temperature-gradient (ITG) instability and its character close to marginal stability…

Plasma Physics · Physics 2024-07-25 L. Podavini , A. Zocco , J. M. García-Regaña , M. Barnes , F. I. Parra , A. Mishchenko , P. Helander

Gyrokinetic simulations are utilized to study effects of magnetic islands on the ion temperature gradient (ITG) turbulence in the KSTAR tokamak with resonant magnetic perturbations. Simulations show that the transport is controlled by the…

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