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Related papers: Residual zonal flows in tokamaks and stellarators …

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The collisionless axisymmetric zonal flow residual calculation for a tokamak plasma is generalized to include electromagnetic perturbations. We formulate and solve the complete initial value zonal flow problem by retaining the fully…

Plasma Physics · Physics 2017-07-26 Peter J. Catto , Felix I. Parra , Istvan Pusztai

Due to their capability to reduce turbulent transport in magnetized plasmas, understanding the dynamics of zonal flows is an important problem in the fusion programme. Since the pioneering work by Rosenbluth and Hinton in axisymmetric…

The gyrokinetic theory of the residual flow, in the electrostatic limit, is revisited, with optimized stellarators in mind. We consider general initial conditions for the problem, and identify cases that lead to a non-zonal residual…

Plasma Physics · Physics 2024-04-12 G. G. Plunk , P. Helander

The intensity of the turbulence in tokamaks and stellarators depends on its ability to excite and sustain zonal flows. Insight into this physics may be gained by studying the ''residual'', i.e. the late-time linear response of the system to…

Plasma Physics · Physics 2025-07-23 Eduardo Rodriguez , Gabriel G Plunk

The linear collisionless plasma response to a zonal-density perturbation in quasisymmetric stellarators is studied, including the geodesic-acoustic-mode oscillations and the Rosenbluth--Hinton residual flow. While the geodesic-acoustic-mode…

Plasma Physics · Physics 2025-02-05 Hongxuan Zhu , Z. Lin , A. Bhattacharjee

In the present work the generation of zonal flows in collisionless trapped electron mode (TEM) turbulence is studied analytically. A reduced model for TEM turbulence is utilized based on an advanced fluid model for reactive drift waves. An…

Plasma Physics · Physics 2009-11-13 J. Anderson , H. Nordman , R. Singh , J. Weiland

The kinetic effects of electrons are important to long wavelength magnetohydrodynamic(MHD)instabilities and short wavelength drift-Alfvenic instabilities responsible for turbulence transport in magnetized plasmas, since the non-adiabatic…

Plasma Physics · Physics 2017-02-07 J. Bao , D. Liu , Z. Lin

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

We show that zonal flow can be preferentially excited by intermediate-scale toroidal electron temperature gradient (ETG) turbulence in tokamak plasmas. Previous theoretical studies that yielded an opposite conclusion assumed a fluid…

Plasma Physics · Physics 2021-05-26 Haotian Chen , Stefan Tirkas , Scott E. Parker

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

The test particle Monte-Carlo models for neutral particles are often used in the tokamak edge modelling codes. The drawback of this approach is that the self-consistent solution suffers from random error introduced by the statistical…

Plasma Physics · Physics 2017-04-19 Vladislav Kotov

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

The derivation of an intermediate-scale gyrokinetic-electron theory in nonuniform tokamak plasmas [Chen H. et al 2021 Nucl. Fusion 61 066017] has shown that a Navier-Stokes type nonlinearity couples electron-temperature-gradient (ETG) modes…

Plasma Physics · Physics 2023-01-05 Stefan Tirkas , Haotian Chen , Gabriele Merlo , Frank Jenko , Scott Parker

A full-F, isothermal, electromagnetic, gyro-fluid model is used to simulate plasma turbulence in a COMPASS-sized, diverted tokamak. A parameter scan covering three orders of magnitude of plasma resistivity and two values for the ion to…

Plasma Physics · Physics 2023-09-20 M. Wiesenberger , M. Held

In tokamak plasmas, the interaction among the micro-turbulence, zonal flows (ZFs) and energetic particles (EPs) can affect the turbulence saturation level and the consequent confinement quality and thus, is important for future burning…

Plasma Physics · Physics 2021-08-11 Zhixin Lu , Markus Weiland , Philipp Lauber , Xin Wang , Guo Meng , Fulvio Zonca

In this paper a conservation equation is derived for the radially dependent entropy in toroidal geometry using the local approximation of the gyro-kinetic framework. This equation naturally leads to an operative definition for the…

Plasma Physics · Physics 2015-06-22 P. Migliano , R. Buchholz , S. R. Grosshauser , W. A. Hornsby , A. G. Peeters

An analytical model for zonal flow generation by toroidal ion-temperature-gradient (ITG) modes, including finite $\beta$ electromagnetic effects, is derived. The derivation is based on a fluid model for ions and electrons and takes into…

Plasma Physics · Physics 2015-05-27 Johan Anderson , Hans Nordman , Rameswar Singh , Raghvendra Singh

Nonlinear gyrokinetic simulations have been conducted to investigate turbulent transport in tokamak plasmas with rotational shear. At sufficiently large flow shears, linear instabilities are suppressed, but transiently growing modes drive…

Plasma Physics · Physics 2015-05-19 M. Barnes , F. I. Parra , E. G. Highcock , A. A. Schekochihin , S. C. Cowley , C. M. Roach

The effect of toroidal rotation on both turbulent and neoclassical transport of tungsten (W) in tokamaks is investigated using the flux-driven, global, nonlinear 5D gyrokinetic code GYSELA. Nonlinear simulations are carried out with…

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
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