# Nonlinear excitation of finite-radial-scale zonal structures by toroidal Alfvén eigenmode

@article{Qiu2016NonlinearEO, title={Nonlinear excitation of finite-radial-scale zonal structures by toroidal Alfv{\'e}n eigenmode}, author={Zhiyong Qiu and Liu Chen and Fulvio Zonca}, journal={Nuclear Fusion}, year={2016}, volume={57} }

The set of equations describing nonlinear evolution of a single toroidal Alfvén eigenmode are derived, including both zero frequency zonal structure (ZFZS) generation and wave-particle phase space nonlinearities. The simplified case of neglecting wave-particle phase space nonlinearity is then investigated to focus on different roles of energetic particles and bulk plasmas on ZFZS generation. It is shown that energetic particles and bulk plasma play dominant roles in ZFZS generation in different…

## 7 Citations

### Nonlinear reversed shear Alfvén eigenmode saturation due to spontaneous zonal current generation

- PhysicsJournal of Plasma Physics
- 2021

General nonlinear equations describing reversed shear Alfvén eigenmode (RSAE) self-modulation via zero-frequency zonal structure (ZFZS) generation are derived using nonlinear gyrokinetic theory,…

### Nonlinear Coupling of Reversed Shear Alfvén Eigenmode and Toroidal Alfvén Eigenmode during Current Ramp

- PhysicsChinese Physics Letters
- 2021

Two novel nonlinear mode coupling processes for reversed shear Alfvén eigenmode (RSAE) nonlinear saturation are proposed and investigated. In the first process, the RSAE nonlinearly couples to a…

### High frequency mode generation by toroidal Alfvén eigenmodes

- PhysicsPhysics of Plasmas
- 2019

Nonlinear generation of high frequency mode (HFM) by toroidal Alfven eigenmode (TAE) observed in HL-2A tokamak is analyzed using nonlinear gyrokinetic theory. It is found that, the HFM can be…

### Nonlinear Decay and Plasma Heating by a Toroidal Alfvén Eigenmode.

- PhysicsPhysical review letters
- 2018

It is demonstrated theoretically that a toroidal Alfvén eigenmode (TAE) can parametrically decay into a geodesic acoustic mode and kinetic TAE in a toroid plasma, which could contribute to the heating as well as regulating the transports of thermal plasmas.

### Overview of tokamak turbulence stabilization by fast ions

- PhysicsPlasma Physics and Controlled Fusion
- 2022

In recent years tokamak experiments and modelling have increasingly indicated that the interaction between suprathermal (fast) ions and thermal plasma can lead to a reduction of turbulence and an…

### Transport theory of phase space zonal structures

- PhysicsPhysics of Plasmas
- 2019

We adopt gyrokinetic theory to extract the phase space zonal structure from the flux surface averaged particle response, that is, the nonlinear response that is undamped by collisionless processes.…

### Summary of magnetic fusion plasma physics in 1st AAPPS-DPP meeting

- Physics
- 2018

This article consists of summary of the presentations in magnetic fusion plasma section of the 1st Asia–Pacific conference on plasma physics. Recent significant progresses achieved in steady state…

## References

SHOWING 1-10 OF 64 REFERENCES

### Effects of energetic particles on zonal flow generation by toroidal Alfven eigenmode

- Physics
- 2016

Generation of zonal ow (ZF) by energetic particle (EP) driven toroidal Alfven eigenmode (TAE) is investigated using nonlinear gyrokinetic theory. It is found that, nonlinear resonant EP contri-…

### Nonlinear excitations of zonal structures by toroidal Alfvén eigenmodes.

- PhysicsPhysical review letters
- 2012

This work shows that proper accounting for plasma equilibrium geometry as well as including kinetic thermal ion treatment in the nonlinear simulations of Alfvénic modes are important ingredients for realistic comparisons with experimental measurements, where the existence of zonal fields has been clearly observed.

### Nonlinear Generation of Zonal Fields by the Beta-Induced Alfvén Eigenmode in Tokamak

- Physics
- 2013

The zonal fields effect on the beta-induced Alfven eigenmode (BAE) destabilized by the energetic particles in toroidal plasmas is studied through the gyrokinetic particle simulations. It is found…

### Excitation of zonal flow by drift waves in toroidal plasmas

- Physics
- 1999

An analytical dispersion relation is derived which shows that, in toroidal plasmas, zonal flows can be spontaneously excited via modulations in the radial envelope of a single-n coherent drift wave,…

### Nonlinear saturation of toroidal Alfvén eigenmodes via ion compton scattering.

- PhysicsPhysical review letters
- 1995

It is shown that nonlinear ponderomotive force produced by TAE's interaction drives sound-wave-like density fluctuation with low phase velocity which can resonantly interact with the bulk ion parallel motion.

### Nonlinear gyrokinetic equations for low-frequency electromagnetic waves in general plasma equilibria

- Physics
- 1981

A nonlinear gyrokinetic formalism for low‐frequency (less than the cyclotron frequency) microscopic electromagnetic perturbations in general magnetic field configurations is developed. The nonlinear…

### Theory on excitations of drift Alfvén waves by energetic particles. I. Variational formulation

- Physics
- 2014

A unified theoretical framework is presented for analyzing various branches of drift Alfven waves and describing their linear and nonlinear behaviors, covering a wide range of spatial and temporal…

### Analysis of the nonlinear behavior of shear-Alfvén modes in tokamaks based on Hamiltonian mapping techniques

- Physics
- 2014

We present a series of numerical simulation experiments set up to illustrate the fundamental physics processes underlying the nonlinear dynamics of Alfvenic modes resonantly excited by energetic…

### Nonlinear magnetohydrodynamic effects on Alfvén eigenmode evolution and zonal flow generation

- Physics
- 2010

Nonlinear magnetohydrodynamic (MHD) effects on Alfvén eigenmode evolution were investigated via hybrid simulations of an MHD fluid interacting with energetic particles. The investigation focused on…

### Physics of Alfvén waves and energetic particles in burning plasmas

- Physics
- 2016

Dynamics of shear Alfven waves and energetic particles are crucial to the performance of burning fusion plasmas. This article reviews linear as well as nonlinear physics of shear Alfven waves and…