# Automated calculation of parametric instabilities in fluid plasmas

## Abstract

A scheme for the automatic calculation of rates for parametric instabilities has been devised and has been implemented using the MACSYMA system. A survey of decay rates for modes propagating in warm fluid magnetoplasmas has begun. In this paper we discuss the method and some techniques for its implementation. The mathematical formalism used for the calculations permits a uniform treatment of these instabilities and it relies heavily on the structure of the linear modes that are coupled by the pump fields. Most of the information on these modes is generated automatically. The algorithms developed for determination of the linear modes are potentially useful for other calculations in plasma physics. An essential feature of the method is the automatic retention of only leading terms in expressions. In this regard the calculation by machine is done in humanlike fashion.

- Authors:

- Publication Date:

- Research Org.:
- Department of Physics and Engineering Physics, Stevens Institute of Technology, Hoboken, New Jersey

- OSTI Identifier:
- 6209177

- Resource Type:
- Journal Article

- Journal Name:
- J. Comput. Phys.; (United States)

- Additional Journal Information:
- Journal Volume: 30:2

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; DECAY INSTABILITY; ALGORITHMS; PARAMETRIC INSTABILITIES; DISPERSION RELATIONS; INSTABILITY; MATHEMATICAL LOGIC; PLASMA INSTABILITY; PLASMA MACROINSTABILITIES; 700107* - Fusion Energy- Plasma Research- Instabilities

### Citation Formats

```
Rosen, B., and Tesser, H.
```*Automated calculation of parametric instabilities in fluid plasmas*. United States: N. p., 1979.
Web. doi:10.1016/0021-9991(79)90101-3.

```
Rosen, B., & Tesser, H.
```*Automated calculation of parametric instabilities in fluid plasmas*. United States. doi:10.1016/0021-9991(79)90101-3.

```
Rosen, B., and Tesser, H. Thu .
"Automated calculation of parametric instabilities in fluid plasmas". United States. doi:10.1016/0021-9991(79)90101-3.
```

```
@article{osti_6209177,
```

title = {Automated calculation of parametric instabilities in fluid plasmas},

author = {Rosen, B. and Tesser, H.},

abstractNote = {A scheme for the automatic calculation of rates for parametric instabilities has been devised and has been implemented using the MACSYMA system. A survey of decay rates for modes propagating in warm fluid magnetoplasmas has begun. In this paper we discuss the method and some techniques for its implementation. The mathematical formalism used for the calculations permits a uniform treatment of these instabilities and it relies heavily on the structure of the linear modes that are coupled by the pump fields. Most of the information on these modes is generated automatically. The algorithms developed for determination of the linear modes are potentially useful for other calculations in plasma physics. An essential feature of the method is the automatic retention of only leading terms in expressions. In this regard the calculation by machine is done in humanlike fashion.},

doi = {10.1016/0021-9991(79)90101-3},

journal = {J. Comput. Phys.; (United States)},

number = ,

volume = 30:2,

place = {United States},

year = {1979},

month = {2}

}