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Title: 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}
}