# Analytical and numerical treatment of resistive drift instability in a plasma slab

## Abstract

An analytic approach combining the effect of equilibrium diamagnetic flows and the finite ionsound gyroradius associated with electron−ion decoupling and kinetic Alfvén wave dispersion is derived to study resistive drift instabilities in a plasma slab. Linear numerical computations using the NIMROD code are performed with cold ions and hot electrons in a plasma slab with a doubly periodic box bounded by two perfectly conducting walls. A linearly unstable resistive drift mode is observed in computations with a growth rate that is consistent with the analytic dispersion relation. The resistive drift mode is expected to be suppressed by magnetic shear in unbounded domains, but the mode is observed in numerical computations with and without magnetic shear. In the slab model, the finite slab thickness and the perfectly conducting boundary conditions are likely to account for the lack of suppression.

- Authors:

- University of Wisconsin-Madison and the Center for Magnetic Self-Organization in Laboratory and Astrophysical Plasmas (United States)

- Publication Date:

- OSTI Identifier:
- 22614131

- Resource Type:
- Journal Article

- Journal Name:
- Plasma Physics Reports

- Additional Journal Information:
- Journal Volume: 42; Journal Issue: 5; Other Information: Copyright (c) 2016 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-780X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BOUNDARY CONDITIONS; CALCULATION METHODS; DISPERSION RELATIONS; DRIFT INSTABILITY; ELECTRONS; EQUILIBRIUM; IONS; KINETICS; PLASMA; SHEAR; SLABS

### Citation Formats

```
Mirnov, V. V., E-mail: vvmirnov@wisc.edu, Sauppe, J. P., Hegna, C. C., and Sovinec, C. R..
```*Analytical and numerical treatment of resistive drift instability in a plasma slab*. United States: N. p., 2016.
Web. doi:10.1134/S1063780X16050123.

```
Mirnov, V. V., E-mail: vvmirnov@wisc.edu, Sauppe, J. P., Hegna, C. C., & Sovinec, C. R..
```*Analytical and numerical treatment of resistive drift instability in a plasma slab*. United States. doi:10.1134/S1063780X16050123.

```
Mirnov, V. V., E-mail: vvmirnov@wisc.edu, Sauppe, J. P., Hegna, C. C., and Sovinec, C. R.. Sun .
"Analytical and numerical treatment of resistive drift instability in a plasma slab". United States. doi:10.1134/S1063780X16050123.
```

```
@article{osti_22614131,
```

title = {Analytical and numerical treatment of resistive drift instability in a plasma slab},

author = {Mirnov, V. V., E-mail: vvmirnov@wisc.edu and Sauppe, J. P. and Hegna, C. C. and Sovinec, C. R.},

abstractNote = {An analytic approach combining the effect of equilibrium diamagnetic flows and the finite ionsound gyroradius associated with electron−ion decoupling and kinetic Alfvén wave dispersion is derived to study resistive drift instabilities in a plasma slab. Linear numerical computations using the NIMROD code are performed with cold ions and hot electrons in a plasma slab with a doubly periodic box bounded by two perfectly conducting walls. A linearly unstable resistive drift mode is observed in computations with a growth rate that is consistent with the analytic dispersion relation. The resistive drift mode is expected to be suppressed by magnetic shear in unbounded domains, but the mode is observed in numerical computations with and without magnetic shear. In the slab model, the finite slab thickness and the perfectly conducting boundary conditions are likely to account for the lack of suppression.},

doi = {10.1134/S1063780X16050123},

journal = {Plasma Physics Reports},

issn = {1063-780X},

number = 5,

volume = 42,

place = {United States},

year = {2016},

month = {5}

}