# A destabilizing effect of rotation shear on magnetohydrodynamic ballooning modes

## Abstract

The destabilization of ideal magnetohydrodynamic ballooning modes at finite rotation shear is demonstrated for the model s-{alpha} equilibrium by exploiting low magnetic shear, s, to simplify the two-dimensional stability problem to a one-dimensional eigenvalue problem. This simpler calculation captures the same features as exhibited by a full two-dimensional treatment, namely that stable values in the s-{alpha} stability diagram become unstable above a critical rotation shear. The first and second stability boundaries at low s are calculated as functions of rotation shear.

- Authors:

- EURATOM/UKAEA Fusion Association, Culham Science Centre, Abingdon, Oxfordshire, OX14 3DB (United Kingdom)

- Publication Date:

- OSTI Identifier:
- 20974954

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 14; Journal Issue: 4; Other Information: DOI: 10.1063/1.2718909; (c) 2007 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; BALLOONING INSTABILITY; DIAGRAMS; EIGENFUNCTIONS; EIGENVALUES; EQUILIBRIUM; MAGNETOHYDRODYNAMICS; ONE-DIMENSIONAL CALCULATIONS; PLASMA; ROTATION; SHEAR; STABILITY; TWO-DIMENSIONAL CALCULATIONS

### Citation Formats

```
Connor, J. W., Hastie, R. J., and Webster, A. J..
```*A destabilizing effect of rotation shear on magnetohydrodynamic ballooning modes*. United States: N. p., 2007.
Web. doi:10.1063/1.2718909.

```
Connor, J. W., Hastie, R. J., & Webster, A. J..
```*A destabilizing effect of rotation shear on magnetohydrodynamic ballooning modes*. United States. doi:10.1063/1.2718909.

```
Connor, J. W., Hastie, R. J., and Webster, A. J.. Sun .
"A destabilizing effect of rotation shear on magnetohydrodynamic ballooning modes". United States.
doi:10.1063/1.2718909.
```

```
@article{osti_20974954,
```

title = {A destabilizing effect of rotation shear on magnetohydrodynamic ballooning modes},

author = {Connor, J. W. and Hastie, R. J. and Webster, A. J.},

abstractNote = {The destabilization of ideal magnetohydrodynamic ballooning modes at finite rotation shear is demonstrated for the model s-{alpha} equilibrium by exploiting low magnetic shear, s, to simplify the two-dimensional stability problem to a one-dimensional eigenvalue problem. This simpler calculation captures the same features as exhibited by a full two-dimensional treatment, namely that stable values in the s-{alpha} stability diagram become unstable above a critical rotation shear. The first and second stability boundaries at low s are calculated as functions of rotation shear.},

doi = {10.1063/1.2718909},

journal = {Physics of Plasmas},

number = 4,

volume = 14,

place = {United States},

year = {Sun Apr 15 00:00:00 EDT 2007},

month = {Sun Apr 15 00:00:00 EDT 2007}

}

DOI: 10.1063/1.2718909

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.