The stability of 2D current sheet models of prominences

A. W. Longbottom; J. P. Melville; A. W. Hood

doi:10.1007/BF00645179

The stability of 2D current sheet models of prominences

A. W. Longbottom, J. P. Melville, A. W. Hood

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

Abstract

A necessary and sufficient condition for the ideal magnetohydrodynamic stability of 2D current sheet models of prominences suspended in a potential coronal field with line-tying is developed using the energy method. This condition takes the form of two simple coupled second-order differential equations which may be integrated along a field line to find marginal stability. The two conditions (85) and (86) of Anzer (1969) are now only sufficient for stability. Two current sheet models are investigated and it is shown that for a potential coronal field allowing perturbed electric currents to flow, line-tying can completely stabilize the equilibria for realistic heights.

Original language	English
Pages (from-to)	73-92
Journal	Solar Physics
Volume	149
DOIs	https://doi.org/10.1007/BF00645179
Publication status	Published - 1 Jan 1994

Keywords

Current Sheets
Magnetohydrodynamic Stability
Potential Fields
Solar Corona
Solar Magnetic Field
Solar Prominences
Stability
Stellar Models
Two Dimensional Models
Differential Equations
Electric Current
Equilibrium Equations
Magnetic Field Configurations
Numerical Analysis

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10.1007/BF00645179

http://adsabs.harvard.edu/abs/1994SoPh..149...73L

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@article{50e744bd5bd745e0bf63b59e337eb1e8,

title = "The stability of 2D current sheet models of prominences",

abstract = "A necessary and sufficient condition for the ideal magnetohydrodynamic stability of 2D current sheet models of prominences suspended in a potential coronal field with line-tying is developed using the energy method. This condition takes the form of two simple coupled second-order differential equations which may be integrated along a field line to find marginal stability. The two conditions (85) and (86) of Anzer (1969) are now only sufficient for stability. Two current sheet models are investigated and it is shown that for a potential coronal field allowing perturbed electric currents to flow, line-tying can completely stabilize the equilibria for realistic heights.",

keywords = "Current Sheets, Magnetohydrodynamic Stability, Potential Fields, Solar Corona, Solar Magnetic Field, Solar Prominences, Stability, Stellar Models, Two Dimensional Models, Differential Equations, Electric Current, Equilibrium Equations, Magnetic Field Configurations, Numerical Analysis",

author = "Longbottom, {A. W.} and Melville, {J. P.} and Hood, {A. W.}",

year = "1994",

month = jan,

day = "1",

doi = "10.1007/BF00645179",

language = "English",

volume = "149",

pages = "73--92",

journal = "Solar Physics",

issn = "0038-0938",

publisher = "Springer",

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TY - JOUR

T1 - The stability of 2D current sheet models of prominences

AU - Longbottom, A. W.

AU - Melville, J. P.

AU - Hood, A. W.

PY - 1994/1/1

Y1 - 1994/1/1

N2 - A necessary and sufficient condition for the ideal magnetohydrodynamic stability of 2D current sheet models of prominences suspended in a potential coronal field with line-tying is developed using the energy method. This condition takes the form of two simple coupled second-order differential equations which may be integrated along a field line to find marginal stability. The two conditions (85) and (86) of Anzer (1969) are now only sufficient for stability. Two current sheet models are investigated and it is shown that for a potential coronal field allowing perturbed electric currents to flow, line-tying can completely stabilize the equilibria for realistic heights.

AB - A necessary and sufficient condition for the ideal magnetohydrodynamic stability of 2D current sheet models of prominences suspended in a potential coronal field with line-tying is developed using the energy method. This condition takes the form of two simple coupled second-order differential equations which may be integrated along a field line to find marginal stability. The two conditions (85) and (86) of Anzer (1969) are now only sufficient for stability. Two current sheet models are investigated and it is shown that for a potential coronal field allowing perturbed electric currents to flow, line-tying can completely stabilize the equilibria for realistic heights.

KW - Current Sheets

KW - Magnetohydrodynamic Stability

KW - Potential Fields

KW - Solar Corona

KW - Solar Magnetic Field

KW - Solar Prominences

KW - Stability

KW - Stellar Models

KW - Two Dimensional Models

KW - Differential Equations

KW - Electric Current

KW - Equilibrium Equations

KW - Magnetic Field Configurations

KW - Numerical Analysis

U2 - 10.1007/BF00645179

DO - 10.1007/BF00645179

M3 - Article

SN - 0038-0938

VL - 149

SP - 73

EP - 92

JO - Solar Physics

JF - Solar Physics

ER -

The stability of 2D current sheet models of prominences

Abstract

Keywords

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