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Spectrum of ballooning instabilities in a stellarator

Abstract

The recent revival of interest in the application of the `ballooning formalism` to low-frequency plasma instabilities has prompted a comparison of the Wentzel-Brillouin-Kramers (WKB) ballooning approximation with an (in principle) exact normal mode calculation for a three-dimensional plasma equilibrium. Semiclassical quantization, using the ideal magnetohydrodynamic (MHD) ballooning eigenvalue to provide a local dispersion relation, is applied to a ten-field period stellarator test case. Excellent qualitative agreement, and good quantitative agreement is found with predictions from the TERPSICHORE code for toroidal mode numbers from 1 to 14 and radial mode numbers from 0 to 2. The continuum bands predicted from three-dimensional WKB theory are too narrow to resolve. (author) 3 figs., 24 refs.
Authors:
Cooper, W A; [1]  Singleton, D B; [2]  Dewar, R L [3] 
  1. Ecole Polytechnique Federale, Lausanne (Switzerland). Centre de Recherche en Physique des Plasma (CRPP)
  2. Australian National Univ., ANU Supercomputing Facility, Canberra (Australia)
  3. Australian National Univ., Canberra, ACT (Australia). Research School of Physical Sciences
Publication Date:
Aug 01, 1995
Product Type:
Technical Report
Report Number:
LRP-527/95
Reference Number:
SCA: 700340; PA: AIX-27:003752; EDB-96:033404; NTS-96:009895; SN: 96001526730
Resource Relation:
Other Information: PBD: Aug 1995
Subject:
70 PLASMA PHYSICS AND FUSION; BALLOONING INSTABILITY; SPECTRA; STELLARATORS; DISPERSION RELATIONS; EIGENVALUES; EQUILIBRIUM PLASMA; MAGNETOHYDRODYNAMICS; T CODES; THEORETICAL DATA; WKB APPROXIMATION
OSTI ID:
169948
Research Organizations:
Ecole Polytechnique Federale, Lausanne (Switzerland). Centre de Recherche en Physique des Plasma (CRPP)
Country of Origin:
Switzerland
Language:
English
Other Identifying Numbers:
Other: ON: DE96609053; TRN: CH9500666003752
Availability:
INIS; OSTI as DE96609053
Submitting Site:
CHN
Size:
19 p.
Announcement Date:

Citation Formats

Cooper, W A, Singleton, D B, and Dewar, R L. Spectrum of ballooning instabilities in a stellarator. Switzerland: N. p., 1995. Web.
Cooper, W A, Singleton, D B, & Dewar, R L. Spectrum of ballooning instabilities in a stellarator. Switzerland.
Cooper, W A, Singleton, D B, and Dewar, R L. 1995. "Spectrum of ballooning instabilities in a stellarator." Switzerland.
@misc{etde_169948,
title = {Spectrum of ballooning instabilities in a stellarator}
author = {Cooper, W A, Singleton, D B, and Dewar, R L}
abstractNote = {The recent revival of interest in the application of the `ballooning formalism` to low-frequency plasma instabilities has prompted a comparison of the Wentzel-Brillouin-Kramers (WKB) ballooning approximation with an (in principle) exact normal mode calculation for a three-dimensional plasma equilibrium. Semiclassical quantization, using the ideal magnetohydrodynamic (MHD) ballooning eigenvalue to provide a local dispersion relation, is applied to a ten-field period stellarator test case. Excellent qualitative agreement, and good quantitative agreement is found with predictions from the TERPSICHORE code for toroidal mode numbers from 1 to 14 and radial mode numbers from 0 to 2. The continuum bands predicted from three-dimensional WKB theory are too narrow to resolve. (author) 3 figs., 24 refs.}
place = {Switzerland}
year = {1995}
month = {Aug}
}