# Effect of the magnetic field curvature on the generation of zonal flows by drift-Alfven waves

## Abstract

The generation of zonal flows by drift-Alfven waves is studied with allowance for magnetic curvature effects. The basic plasmadynamic equations relating the electrostatic potential, vector potential, and perturbed plasma density are the vorticity equation, longitudinal Ohm's law, and continuity equation. The basic equations are analyzed by applying a parametric formalism similar to that used in the theory of the generation of convective cells. In contrast to most previous investigations on the subject, consideration is given to primary modes having an arbitrary spectrum rather than to an individual monochromatic wave packet. The parametric approach so modified makes it possible to reveal a new class of instabilities of zonal flows that are analogous to two-stream instabilities in linear theory. It is shown that, in the standard theory of zonal flows, the zonal components of the vector potential and perturbed density are not excited. It is pointed out that zonal flows can be generated both in the case of a magnetic hill and in the case of a magnetic well. In the first case, the instabilities of zonal flows are analogous to negative-mass instabilities in linear theory, and, in the second case, they are analogous to two-stream instabilities.

- Authors:

- Russian Research Centre Kurchatov Institute, Nuclear Fusion Institute (Russian Federation)
- University of Sao Paulo, Institute of Physics (Brazil)

- Publication Date:

- OSTI Identifier:
- 21100174

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Plasma Physics Reports; Journal Volume: 33; Journal Issue: 5; Other Information: DOI: 10.1134/S1063780X07050066; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ALFVEN WAVES; CONTINUITY EQUATIONS; MAGNETIC FIELDS; MINIMUM-B CONFIGURATIONS; MONOCHROMATIC RADIATION; NEGATIVE MASS INSTABILITY; PLASMA DENSITY; SPECTRA; TWO-STREAM INSTABILITY; WAVE PACKETS

### Citation Formats

```
Mikhailovskii, A. B., Kovalishen, E. A., Shirokov, M. S., Tsypin, V. S., and Galvao, R. M. O..
```*Effect of the magnetic field curvature on the generation of zonal flows by drift-Alfven waves*. United States: N. p., 2007.
Web. doi:10.1134/S1063780X07050066.

```
Mikhailovskii, A. B., Kovalishen, E. A., Shirokov, M. S., Tsypin, V. S., & Galvao, R. M. O..
```*Effect of the magnetic field curvature on the generation of zonal flows by drift-Alfven waves*. United States. doi:10.1134/S1063780X07050066.

```
Mikhailovskii, A. B., Kovalishen, E. A., Shirokov, M. S., Tsypin, V. S., and Galvao, R. M. O.. Tue .
"Effect of the magnetic field curvature on the generation of zonal flows by drift-Alfven waves". United States.
doi:10.1134/S1063780X07050066.
```

```
@article{osti_21100174,
```

title = {Effect of the magnetic field curvature on the generation of zonal flows by drift-Alfven waves},

author = {Mikhailovskii, A. B. and Kovalishen, E. A. and Shirokov, M. S. and Tsypin, V. S. and Galvao, R. M. O.},

abstractNote = {The generation of zonal flows by drift-Alfven waves is studied with allowance for magnetic curvature effects. The basic plasmadynamic equations relating the electrostatic potential, vector potential, and perturbed plasma density are the vorticity equation, longitudinal Ohm's law, and continuity equation. The basic equations are analyzed by applying a parametric formalism similar to that used in the theory of the generation of convective cells. In contrast to most previous investigations on the subject, consideration is given to primary modes having an arbitrary spectrum rather than to an individual monochromatic wave packet. The parametric approach so modified makes it possible to reveal a new class of instabilities of zonal flows that are analogous to two-stream instabilities in linear theory. It is shown that, in the standard theory of zonal flows, the zonal components of the vector potential and perturbed density are not excited. It is pointed out that zonal flows can be generated both in the case of a magnetic hill and in the case of a magnetic well. In the first case, the instabilities of zonal flows are analogous to negative-mass instabilities in linear theory, and, in the second case, they are analogous to two-stream instabilities.},

doi = {10.1134/S1063780X07050066},

journal = {Plasma Physics Reports},

number = 5,

volume = 33,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}