# Drift-Alfven eigenmodes in inhomogeneous plasma

## Abstract

A set of three nonlinear equations describing drift-Alfven waves in a nonuniform magnetized plasma is derived and discussed both in linear and nonlinear limits. In the case of a cylindric radially bounded plasma with a Gaussian density distribution in the radial direction the linearized equations are solved exactly yielding general solutions for modes with quantized frequencies and with radially dependent amplitudes. The full set of nonlinear equations is also solved yielding particular solutions in the form of rotating radially limited structures. The results should be applicable to the description of electromagnetic perturbations in solar magnetic structures and in astrophysical column-like objects including cosmic tornados.

- Authors:

- Centre for Plasma Astrophysics, Celestijnenlaan 200B, 3001 Leuven (Belgium)

- Publication Date:

- OSTI Identifier:
- 20782542

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 13; Journal Issue: 3; Other Information: DOI: 10.1063/1.2181436; (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; ALFVEN WAVES; AMPLITUDES; DISTRIBUTION; DISTURBANCES; DRIFT INSTABILITY; GAUSS FUNCTION; INHOMOGENEOUS PLASMA; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; PLASMA DENSITY; PLASMA DRIFT

### Citation Formats

```
Vranjes, J., and Poedts, S..
```*Drift-Alfven eigenmodes in inhomogeneous plasma*. United States: N. p., 2006.
Web. doi:10.1063/1.2181436.

```
Vranjes, J., & Poedts, S..
```*Drift-Alfven eigenmodes in inhomogeneous plasma*. United States. doi:10.1063/1.2181436.

```
Vranjes, J., and Poedts, S.. Wed .
"Drift-Alfven eigenmodes in inhomogeneous plasma". United States.
doi:10.1063/1.2181436.
```

```
@article{osti_20782542,
```

title = {Drift-Alfven eigenmodes in inhomogeneous plasma},

author = {Vranjes, J. and Poedts, S.},

abstractNote = {A set of three nonlinear equations describing drift-Alfven waves in a nonuniform magnetized plasma is derived and discussed both in linear and nonlinear limits. In the case of a cylindric radially bounded plasma with a Gaussian density distribution in the radial direction the linearized equations are solved exactly yielding general solutions for modes with quantized frequencies and with radially dependent amplitudes. The full set of nonlinear equations is also solved yielding particular solutions in the form of rotating radially limited structures. The results should be applicable to the description of electromagnetic perturbations in solar magnetic structures and in astrophysical column-like objects including cosmic tornados.},

doi = {10.1063/1.2181436},

journal = {Physics of Plasmas},

number = 3,

volume = 13,

place = {United States},

year = {Wed Mar 15 00:00:00 EST 2006},

month = {Wed Mar 15 00:00:00 EST 2006}

}

DOI: 10.1063/1.2181436

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