# Nonlinear electromagnetic gyrokinetic equations for rotating axisymmetric plasmas

## Abstract

The influence of sheared equilibrium flows on the confinement properties of tokamak plasmas is a topic of much current interest. A proper theoretical foundation for the systematic kinetic analysis of this important problem has been provided here by presented the derivation of a set of nonlinear electromagnetic gyrokinetic equations applicable to low frequency microinstabilities in a rotating axisymmetric plasma. The subsonic rotation velocity considered is in the direction of symmetry with the angular rotation frequency being a function of the equilibrium magnetic flux surface. In accordance with experimental observations, the rotation profile is chosen to scale with the ion temperature. The results obtained represent the shear flow generalization of the earlier analysis by Frieman and Chen where such flows were not taken into account. In order to make it readily applicable to gyrokinetic particle simulations, this set of equations is cast in a phase-space-conserving continuity equation form.

- Authors:

- Publication Date:

- Research Org.:
- Princeton Univ., NJ (United States). Plasma Physics Lab.

- Sponsoring Org.:
- USDOE, Washington, DC (United States)

- OSTI Identifier:
- 142543

- Report Number(s):
- PPPL-2976

ON: DE94008837; TRN: 94:006580

- DOE Contract Number:
- AC02-76CH03073

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: Mar 1994

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION; ROTATING PLASMA; KINETIC EQUATIONS; TOKAMAK DEVICES; NONLINEAR PROBLEMS; SHEAR; PLASMA MICROINSTABILITIES; TRANSFORMATIONS; GUIDING-CENTER APPROXIMATION; DISTRIBUTION FUNCTIONS

### Citation Formats

```
Artun, M., and Tang, W.M..
```*Nonlinear electromagnetic gyrokinetic equations for rotating axisymmetric plasmas*. United States: N. p., 1994.
Web. doi:10.2172/142543.

```
Artun, M., & Tang, W.M..
```*Nonlinear electromagnetic gyrokinetic equations for rotating axisymmetric plasmas*. United States. doi:10.2172/142543.

```
Artun, M., and Tang, W.M.. Tue .
"Nonlinear electromagnetic gyrokinetic equations for rotating axisymmetric plasmas". United States. doi:10.2172/142543. https://www.osti.gov/servlets/purl/142543.
```

```
@article{osti_142543,
```

title = {Nonlinear electromagnetic gyrokinetic equations for rotating axisymmetric plasmas},

author = {Artun, M. and Tang, W.M.},

abstractNote = {The influence of sheared equilibrium flows on the confinement properties of tokamak plasmas is a topic of much current interest. A proper theoretical foundation for the systematic kinetic analysis of this important problem has been provided here by presented the derivation of a set of nonlinear electromagnetic gyrokinetic equations applicable to low frequency microinstabilities in a rotating axisymmetric plasma. The subsonic rotation velocity considered is in the direction of symmetry with the angular rotation frequency being a function of the equilibrium magnetic flux surface. In accordance with experimental observations, the rotation profile is chosen to scale with the ion temperature. The results obtained represent the shear flow generalization of the earlier analysis by Frieman and Chen where such flows were not taken into account. In order to make it readily applicable to gyrokinetic particle simulations, this set of equations is cast in a phase-space-conserving continuity equation form.},

doi = {10.2172/142543},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1994},

month = {3}

}