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The role of parallel ion motion for zonal flow generation in ion-temperature-gradient (ITG) mode turbulence is investigated with focus on the effects of acoustic modes and toroidicity on the zonal flow. One possible reason for the weak…

Plasma Physics · Physics 2009-11-13 J. Anderson , J. Li , Y. Kishimoto

In the present work the zonal flow (ZF) growth rate in toroidal ion-temperature-gradient (ITG) mode turbulence including the effects of elongation is studied analytically. The scaling of the ZF growth with plasma parameters is examined for…

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

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

The role of magnetic shear for zonal flow generation by ion-temperature-gradient (ITG-) and trapped electron (TE-) mode turbulence is studied analytically using fluid descriptions. The scaling of the zonal flow (ZF) growth rate with…

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

There is strong evidence in favor for zonal flow suppression of the Ion-Temperature-Gradient (ITG) mode turbulence, specifically close to the linear stability threshold. The present letter attempts to analytically calculate the effects of…

Plasma Physics · Physics 2009-11-13 Johan Anderson , Jiquan Li , Yasuaki Kishimoto , Eun-jin Kim

In this work, we use the global electromagnetic and electrostatic gyro kinetic approaches to investigate the effects of zonal flows forced-driven by Alfv\'en modes due to their excitation by energetic particles (EPs), on the dynamics of ITG…

During the past years the understanding of the multi-scale interaction problems have increased significantly. However, at present there exists a range of different analytical models for investigating multi-scale interactions and hardly any…

Plasma Physics · Physics 2009-11-13 J. Anderson , Y. Kishimoto

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

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

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

Impacts of isotope ion mass on trapped electron mode (TEM) driven turbulence and zonal flows in magnetically confined fusion plasmas are investigated. Gyrokinetic simulations of TEM-driven turbulence in three-dimensional magnetic…

Plasma Physics · Physics 2026-02-27 Motoki Nakata , Masanori Nunami , Hideo Sugama , Tomo-Hiko Watanabe

The probability distribution functions (PDFs) of momentum flux and zonal flow formation in ion-temperature-gradient (ITG) turbulence are investigated, including the effect of the shear flow on the PDFs. While ITG turbulence maintains high…

Plasma Physics · Physics 2015-05-13 Johan Anderson , Eun-jin Kim

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

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 competition between the drive and stabilization of plasma microinstabilities by sheared flow is investigated, focusing on the ion temperature gradient mode. Using a twisting mode representation in sheared slab geometry, the…

Plasma Physics · Physics 2015-05-19 Sarah L. Newton , Steve C. Cowley , Nuno F. Loureiro

Nonlinear entropy transfer processes in toroidal ion temperature gradient (ITG) and electron temperature gradient (ETG) driven turbulence are investigated based on the gyrokinetic entropy balance relations for zonal and non-zonal modes,…

Plasma Physics · Physics 2026-02-27 Motoki Nakata , Tomo-Hiko Watanabe , Hideo Sugama

The linear instability of the electron temperature gradient (ETG) driven modes in the presence of zonal flows is investigated. Random and deterministic $cos$ - like profiles of the zonal flow are considered. It is shown that the presence of…

Plasma Physics · Physics 2009-11-13 V. M. Lashkin , Yu. A. Zaliznyak , A. I. Yakimenko

We investigate the effect of varying the ion temperature gradient (ITG) and toroidal equilibrium scale sheared flow on ion-scale turbulence in the outer core of MAST by means of local gyrokinetic simulations. We show that nonlinear…

Plasma Physics · Physics 2017-10-11 F. van Wyk , E. G. Highcock , A. R. Field , C. M. Roach , A. A. Schekochihin , F. I. Parra , W. Dorland

Self-interaction is the process by which a microturbulence eigenmode that is extended along the direction parallel to the magnetic field interacts with itself non-linearly. This effect is particularly significant in gyrokinetic simulations…

Plasma Physics · Physics 2024-09-17 Ajay C. J. , Stephan Brunner , Ben McMillan , Justin Ball , Julien Dominski , Gabriele Merlo

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
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