# On Ideal Stability of Cylindrical Localized Interchange Modes

## Abstract

Stability of cylindrical localized ideal pressure-driven interchange plasma modes is revisited. Converting the underlying eigenvalue problem into the form of the Schroedinger equation gives a new simple way of deriving the Suydam stability criterion and calculating the growth rates of unstable modes. Near the marginal stability limit the growth rate is exponentially small and the mode has a double-peak structure.

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 942022

- Report Number(s):
- UCRL-JRNL-231049

Journal ID: ISSN 0863-1042; CPPHEP; TRN: US0807512

- DOE Contract Number:
- W-7405-ENG-48

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Contributions to Plasma Physics, vol. 47, no. 6, August 30, 2007, pp. 447-450; Journal Volume: 47; Journal Issue: 6

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION; EIGENVALUES; PLASMA; SCHROEDINGER EQUATION; STABILITY

### Citation Formats

```
Umansky, M V.
```*On Ideal Stability of Cylindrical Localized Interchange Modes*. United States: N. p., 2007.
Web. doi:10.1002/ctpp.200710058.

```
Umansky, M V.
```*On Ideal Stability of Cylindrical Localized Interchange Modes*. United States. doi:10.1002/ctpp.200710058.

```
Umansky, M V. Tue .
"On Ideal Stability of Cylindrical Localized Interchange Modes". United States.
doi:10.1002/ctpp.200710058. https://www.osti.gov/servlets/purl/942022.
```

```
@article{osti_942022,
```

title = {On Ideal Stability of Cylindrical Localized Interchange Modes},

author = {Umansky, M V},

abstractNote = {Stability of cylindrical localized ideal pressure-driven interchange plasma modes is revisited. Converting the underlying eigenvalue problem into the form of the Schroedinger equation gives a new simple way of deriving the Suydam stability criterion and calculating the growth rates of unstable modes. Near the marginal stability limit the growth rate is exponentially small and the mode has a double-peak structure.},

doi = {10.1002/ctpp.200710058},

journal = {Contributions to Plasma Physics, vol. 47, no. 6, August 30, 2007, pp. 447-450},

number = 6,

volume = 47,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}

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