# Semianalytical calculation of the zonal-flow oscillation frequency in stellarators

@article{Monreal2017SemianalyticalCO, title={Semianalytical calculation of the zonal-flow oscillation frequency in stellarators}, author={P. Monreal and E. S{\'a}nchez and Iv{\'a}n Calvo and A. Bustos and Felix I. Parra and Alexey Mishchenko and Axel Konies and Ralf Kleiber}, journal={Plasma Physics and Controlled Fusion}, year={2017}, volume={59} }

Due to their capability to reduce turbulent transport in magnetized plasmas, understanding the dynamics of zonal flows is an important problem in the fusion program. Since the pioneering work by Rosenbluth and Hinton in axisymmetric tokamaks, it is known that studying the linear and collisionless relaxation of zonal flow perturbations gives valuable information and physical insight. Recently, the problem has been investigated in stellarators and it has been found that in these devices the…

## 9 Citations

### Oscillatory relaxation of zonal flows in a multi-species stellarator plasma

- PhysicsPlasma Physics and Controlled Fusion
- 2018

The low frequency oscillatory relaxation of zonal potential perturbations is studied numerically in the TJ-II stellarator (where it was experimentally detected recently for the first time in Alonso…

### Nonlinear gyrokinetic PIC simulations in stellarators with the code EUTERPE

- PhysicsJournal of Plasma Physics
- 2020

In this work, the first nonlinear particle-in-cell simulations carried out in a stellarator with the global gyrokinetic code EUTERPE using adiabatic electrons and realistic plasma parameters are…

### Validation of global gyrokinetic simulations in stellarator configurations

- PhysicsNuclear Fusion
- 2019

In this paper, recent simulations carried out with the global gyrokinetic code EUTERPE in configurations of the TJ-II stellarator are presented. The simulations are compared with experimental…

### Comparison of local and global gyrokinetic calculations of collisionless zonal flow damping in quasi-symmetric stellarators

- PhysicsPhysics of Plasmas
- 2021

The linear collisionless damping of zonal flows is calculated for quasi-symmetric stellarator equilibria in flux-tube, flux-surface, and full-volume geometry. Equilibria are studied from the…

### Impact of resonant magnetic perturbations on zonal flows and microturbulence

- PhysicsNuclear Fusion
- 2020

Results from a joint experimental and computational effort studying the effect of resonant magnetic perturbations (RMPs) on microturbulence levels and their connection to zonal flows in the DIII-D…

### Overview of recent TJ-II stellarator results

- PhysicsNuclear Fusion
- 2019

The main results obtained in the TJ-II stellarator in the last two years are reported. The most important topics investigated have been modelling and validation of impurity transport, validation of…

### A comparison of turbulent transport in a quasi-helical and a quasi-axisymmetric stellarator

- PhysicsJournal of Plasma Physics
- 2019

Ion-temperature-gradient-driven (ITG) turbulence is compared for two quasi-symmetric (QS) stellarator configurations to determine the relationship between linear growth rates and nonlinear heat…

### Electrostatic gyrokinetic simulations in Wendelstein 7-X geometry: benchmark between the codes stella and GENE

- Computer ScienceJournal of Plasma Physics
- 2022

This paper attempts to provide a sufficiently complete, documented and verified set of gyrokinetic simulations in W7-X geometry against which new codes or upgrades of existing codes can be tested and benchmarked between the recently developed code stella and the well-established code GENE.

### Long-time collisionless relaxation of zonal flows in toroidal fusion devices

- Physics
- 2017

La reduccion del transporte turbulento por flujos zonales en tokamaks y stellarators ha sido estudiada durante decadas. Estos flujos estan asociados a perturbaciones de potencial electrostatico…

## References

SHOWING 1-10 OF 33 REFERENCES

### Residual zonal flows in tokamaks and stellarators at arbitrary wavelengths

- Physics
- 2015

In the linear collisionless limit, a zonal potential perturbation in a toroidal plasma relaxes, in general, to a non-zero residual value. Expressions for the residual value in tokamak and stellarator…

### Collisionless dynamics of zonal flows in stellarator geometry

- Physics
- 2008

The collisionless time evolution of zonal flows in stellarator systems is investigated. An analytical solution of the kinetic and quasineutrality equations describing the residual zonal flow is…

### Collisionless damping of zonal flows in helical systems

- Physics
- 2005

Collisionless time evolution of zonal flows in helical systems is investigated. An analytical expression describing the collisionless response of the zonal-flow potential to the initial potential and…

### A Kinetic Magnetohydrodynamic Energy Integral in Three Dimensional Geometry

- Physics
- 2000

Recent observations of Alfven wave excitations in stellarator geometry and their successful description by the global magnetohydrodynamic (MHD) stability code CAS3D (Code for the Analysis of the MHD…

### Zonal flows and ion temperature gradient instabilities in multiple-helicity magnetic fields

- Physics
- 2007

The effects of multiple-helicity magnetic fields on the ion temperature gradient (ITG) instability and on the zonal flow (ZF) evolution are studied with the linear gyrokinetic Vlasov code GKV [T.-H.…

### Short wavelength effects on the collisionless neoclassical polarization and residual zonal flow level

- Physics
- 2006

Sheared zonal flow helps to reduce the turbulent transport caused by the ion temperature gradient mode. Rosenbluth and Hinton (R-H) calculated the residual zonal flow level for radial wavelengths…

### The effect of tangential drifts on neoclassical transport in stellarators close to omnigeneity

- Physics
- 2016

In general, the orbit-averaged radial magnetic drift of trapped particles in stellarators is non-zero due to the three-dimensional nature of the magnetic field. Stellarators in which the…

### Zonal flow dynamics and control of turbulent transport in stellarators.

- PhysicsPhysical review letters
- 2011

The relation between magnetic geometry and the level of ion-temperature-gradient (ITG) driven turbulence in stellarators is explored through gyrokinetic theory and direct linear and nonlinear…

### Global linear gyrokinetic simulations in quasi-symmetric configurations

- Physics
- 2001

First global linear study of electrostatic drift waves in two realistic quasisymmetric configurations, namely the Quasi-Axially symmetric Stellarator with three fields periods (QAS3) [P. Garabian and…

### Erratum: “Collisionless damping of zonal flows in helical systems” [Phys. Plasmas 13, 012501 (2006)]

- Physics
- 2007

where Z ̂ is the plasma dispersion function of ̂ R0q /vTi and DS ̂ Ti /Te+1+ ̂Z ̂ is used. The FOW effect on the GAM dispersion relation 1/KGAM =0 is included in Eq. 14 through the function JFOW…