Criteria for the stability of a line-tied magnetohydrostatic equilibrium in the solar corona

J. Melville; A. Hood; E. R. Priest

doi:10.1016/0273-1177(86)90114-6

Criteria for the stability of a line-tied magnetohydrostatic equilibrium in the solar corona

J. Melville^*, A. Hood, E. R. Priest

^*Corresponding author for this work

Applied Mathematics

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

Abstract

Arcades of loop structures in the solar corona have been associated with the onset of solar flares. Changes in the plasma and/or magnetic pressure could initiate a flare if the equilibrium structure becomes unstable. It is shown that for a model magnetohydrostatic equilibrium, if the plasma β > β{black star} where β{black star} is the β-value for which a magnetic island just appears on the photosphere, then the closed field lines and some field lines tied to the photosphere are unstable to localised linear perturbations. If the field remains unsheared by photospheric motions, then the condition β < β{black star} for stability is necessary and sufficient.

Original language	English
Pages (from-to)	49-52
Number of pages	4
Journal	Advances in Space Research
Volume	6
Issue number	6
DOIs	https://doi.org/10.1016/0273-1177(86)90114-6
Publication status	Published - 1 Jan 1986

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title = "Criteria for the stability of a line-tied magnetohydrostatic equilibrium in the solar corona",

abstract = "Arcades of loop structures in the solar corona have been associated with the onset of solar flares. Changes in the plasma and/or magnetic pressure could initiate a flare if the equilibrium structure becomes unstable. It is shown that for a model magnetohydrostatic equilibrium, if the plasma β > β{black star} where β{black star} is the β-value for which a magnetic island just appears on the photosphere, then the closed field lines and some field lines tied to the photosphere are unstable to localised linear perturbations. If the field remains unsheared by photospheric motions, then the condition β < β{black star} for stability is necessary and sufficient.",

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T1 - Criteria for the stability of a line-tied magnetohydrostatic equilibrium in the solar corona

AU - Melville, J.

AU - Hood, A.

AU - Priest, E. R.

PY - 1986/1/1

Y1 - 1986/1/1

N2 - Arcades of loop structures in the solar corona have been associated with the onset of solar flares. Changes in the plasma and/or magnetic pressure could initiate a flare if the equilibrium structure becomes unstable. It is shown that for a model magnetohydrostatic equilibrium, if the plasma β > β{black star} where β{black star} is the β-value for which a magnetic island just appears on the photosphere, then the closed field lines and some field lines tied to the photosphere are unstable to localised linear perturbations. If the field remains unsheared by photospheric motions, then the condition β < β{black star} for stability is necessary and sufficient.

AB - Arcades of loop structures in the solar corona have been associated with the onset of solar flares. Changes in the plasma and/or magnetic pressure could initiate a flare if the equilibrium structure becomes unstable. It is shown that for a model magnetohydrostatic equilibrium, if the plasma β > β{black star} where β{black star} is the β-value for which a magnetic island just appears on the photosphere, then the closed field lines and some field lines tied to the photosphere are unstable to localised linear perturbations. If the field remains unsheared by photospheric motions, then the condition β < β{black star} for stability is necessary and sufficient.

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JO - Advances in Space Research

JF - Advances in Space Research

IS - 6

ER -

Criteria for the stability of a line-tied magnetohydrostatic equilibrium in the solar corona

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