# Chaotic waves in Hall thruster plasma

## Abstract

The set of hyperbolic equations of the fluid model describing the acceleration of plasma in a Hall thruster is analyzed. The characteristic feature of the flow is the existence of a trapped characteristic; i.e. there exists a characteristic line, which never intersects the boundary of the flow region in the thruster. To study the propagation of short wave perturbations, the approach of geometrical optics (like WKB) can be applied. This can be done in a linear as well as in a nonlinear version. The nonlinear version describes the waves of small but finite amplitude. As a result of such an approach one obtains so called transport equation, which are governing the wave amplitude. Due to the existence of trapped characteristics this transport equation appears to have chaotic (turbulent) solutions in both, linear and nonlinear versions.

- Authors:

- Institute of Applied Mathematics and Mechanics, Warsaw University, Banacha 2, 02-097 Warsaw (Poland)
- (Poland)
- Institute of Fundamental Technological Research, Polish Academy of Sciences, SwiePtokrzyska 21, 00049 Warsaw (Poland)
- Laboratoire d'Aerothermique, Centre National de la Recherche Scientifique 1C Avenue de la Recherche Scientifique, 45071 Orleans Cedex 2 (France)

- Publication Date:

- OSTI Identifier:
- 20797890

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 812; Journal Issue: 1; Conference: PLASMA 2005: International conference on research and applications of plasmas; 3. German-Polish conference on plasma diagnostics for fusion and applications; 5. French-Polish seminar on thermal plasma in space and laboratory, Opole-Turawa (Poland), 6-9 Sep 2005; Other Information: DOI: 10.1063/1.2168816; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ACCELERATION; AMPLITUDES; CHAOS THEORY; DISTURBANCES; ION THRUSTERS; NONLINEAR PROBLEMS; PLASMA; PLASMA FLUID EQUATIONS; PLASMA SIMULATION; TRANSPORT THEORY; TRAPPING

### Citation Formats

```
Peradzynski, Zbigniew, Institute of Fundamental Technological Research, Polish Academy of Sciences, SwiePtokrzyska 21, 00-049 Warsaw, Barral, S., Kurzyna, J., Makowski, K., and Dudeck, M.
```*Chaotic waves in Hall thruster plasma*. United States: N. p., 2006.
Web. doi:10.1063/1.2168816.

```
Peradzynski, Zbigniew, Institute of Fundamental Technological Research, Polish Academy of Sciences, SwiePtokrzyska 21, 00-049 Warsaw, Barral, S., Kurzyna, J., Makowski, K., & Dudeck, M.
```*Chaotic waves in Hall thruster plasma*. United States. doi:10.1063/1.2168816.

```
Peradzynski, Zbigniew, Institute of Fundamental Technological Research, Polish Academy of Sciences, SwiePtokrzyska 21, 00-049 Warsaw, Barral, S., Kurzyna, J., Makowski, K., and Dudeck, M. Sun .
"Chaotic waves in Hall thruster plasma". United States.
doi:10.1063/1.2168816.
```

```
@article{osti_20797890,
```

title = {Chaotic waves in Hall thruster plasma},

author = {Peradzynski, Zbigniew and Institute of Fundamental Technological Research, Polish Academy of Sciences, SwiePtokrzyska 21, 00-049 Warsaw and Barral, S. and Kurzyna, J. and Makowski, K. and Dudeck, M.},

abstractNote = {The set of hyperbolic equations of the fluid model describing the acceleration of plasma in a Hall thruster is analyzed. The characteristic feature of the flow is the existence of a trapped characteristic; i.e. there exists a characteristic line, which never intersects the boundary of the flow region in the thruster. To study the propagation of short wave perturbations, the approach of geometrical optics (like WKB) can be applied. This can be done in a linear as well as in a nonlinear version. The nonlinear version describes the waves of small but finite amplitude. As a result of such an approach one obtains so called transport equation, which are governing the wave amplitude. Due to the existence of trapped characteristics this transport equation appears to have chaotic (turbulent) solutions in both, linear and nonlinear versions.},

doi = {10.1063/1.2168816},

journal = {AIP Conference Proceedings},

number = 1,

volume = 812,

place = {United States},

year = {Sun Jan 15 00:00:00 EST 2006},

month = {Sun Jan 15 00:00:00 EST 2006}

}