Ballooning instabilities in the solar corona - Conditions for stability

A. W. Hood

doi:10.1007/BF00147834

Ballooning instabilities in the solar corona - Conditions for stability

A. W. Hood

Applied Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A method for analyzing the stability of cylindrical loops and arcades to ballooning modes is presented. Using a WKB method, simple tests for instability (or stability to localized modes) are obtained for the two commonly used, line tying, conditions. In addition, when instabilities are present, the physical growth rate and the radial structure of the least stable can be computed from the solution of a 4th order system of ordinary differential equations. The detailed analysis for a particular field is presented in an Appendix.

Original language	English
Pages (from-to)	329-345
Journal	Solar Physics
Volume	103
DOIs	https://doi.org/10.1007/BF00147834
Publication status	Published - 1 Feb 1986

Keywords

Magnetohydrodynamic Stability
Solar Corona
Solar Flares
Eigenvalues
Hydrodynamic Equations
Wentzel-Kramer-Brillouin Method

Access to Document

10.1007/BF00147834

http://adsabs.harvard.edu/abs/1986SoPh..103..329H

Cite this

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title = "Ballooning instabilities in the solar corona - Conditions for stability",

abstract = "A method for analyzing the stability of cylindrical loops and arcades to ballooning modes is presented. Using a WKB method, simple tests for instability (or stability to localized modes) are obtained for the two commonly used, line tying, conditions. In addition, when instabilities are present, the physical growth rate and the radial structure of the least stable can be computed from the solution of a 4th order system of ordinary differential equations. The detailed analysis for a particular field is presented in an Appendix.",

keywords = "Magnetohydrodynamic Stability, Solar Corona, Solar Flares, Eigenvalues, Hydrodynamic Equations, Wentzel-Kramer-Brillouin Method",

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AU - Hood, A. W.

PY - 1986/2/1

Y1 - 1986/2/1

N2 - A method for analyzing the stability of cylindrical loops and arcades to ballooning modes is presented. Using a WKB method, simple tests for instability (or stability to localized modes) are obtained for the two commonly used, line tying, conditions. In addition, when instabilities are present, the physical growth rate and the radial structure of the least stable can be computed from the solution of a 4th order system of ordinary differential equations. The detailed analysis for a particular field is presented in an Appendix.

AB - A method for analyzing the stability of cylindrical loops and arcades to ballooning modes is presented. Using a WKB method, simple tests for instability (or stability to localized modes) are obtained for the two commonly used, line tying, conditions. In addition, when instabilities are present, the physical growth rate and the radial structure of the least stable can be computed from the solution of a 4th order system of ordinary differential equations. The detailed analysis for a particular field is presented in an Appendix.

KW - Magnetohydrodynamic Stability

KW - Solar Corona

KW - Solar Flares

KW - Eigenvalues

KW - Hydrodynamic Equations

KW - Wentzel-Kramer-Brillouin Method

U2 - 10.1007/BF00147834

DO - 10.1007/BF00147834

M3 - Article

SN - 0038-0938

VL - 103

SP - 329

EP - 345

JO - Solar Physics

JF - Solar Physics

ER -