Effect of pressure gradients and line-tying on the magnetic stability of coronal loops

A. W. Hood; E. R. Priest; G. Einaudi

doi:10.1080/03091928208213655

Effect of pressure gradients and line-tying on the magnetic stability of coronal loops

A. W. Hood, E. R. Priest, G. Einaudi

Applied Mathematics

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

Abstract

An analytical solution for the stability of a simple magnetostatic field is derived, including the effects of the dense photosphere and of pressure gradients. A simple equilibrium state is chosen, and the effects of line-tying and of pressure gradients are considered. The model loop consists of a uniform cylinder of axial flux, surrounded by a purely azimuthal field and separated by a current sheet of thickness 2(delta). The sharp pinch is studied in which delta goes to zero.

Original language	English
Pages (from-to)	247-263
Journal	Geophysical and Astrophysical Fluid Dynamics
Volume	20
DOIs	https://doi.org/10.1080/03091928208213655
Publication status	Published - 1982

Keywords

Coronal Loops
Magnetohydrodynamic Stability
Magnetostatics
Pressure Effects
Pressure Gradients
Current Sheets
Cylinders
Lines Of Force
Photosphere

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10.1080/03091928208213655

http://adsabs.harvard.edu/abs/1982GApFD..20..247H

Cite this

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title = "Effect of pressure gradients and line-tying on the magnetic stability of coronal loops",

abstract = "An analytical solution for the stability of a simple magnetostatic field is derived, including the effects of the dense photosphere and of pressure gradients. A simple equilibrium state is chosen, and the effects of line-tying and of pressure gradients are considered. The model loop consists of a uniform cylinder of axial flux, surrounded by a purely azimuthal field and separated by a current sheet of thickness 2(delta). The sharp pinch is studied in which delta goes to zero.",

keywords = "Coronal Loops, Magnetohydrodynamic Stability, Magnetostatics, Pressure Effects, Pressure Gradients, Current Sheets, Cylinders, Lines Of Force, Photosphere",

author = "Hood, \{A. W.\} and Priest, \{E. R.\} and G. Einaudi",

year = "1982",

doi = "10.1080/03091928208213655",

language = "English",

volume = "20",

pages = "247--263",

journal = "Geophysical and Astrophysical Fluid Dynamics",

issn = "0309-1929",

publisher = "Taylor and Francis",

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TY - JOUR

T1 - Effect of pressure gradients and line-tying on the magnetic stability of coronal loops

AU - Hood, A. W.

AU - Priest, E. R.

AU - Einaudi, G.

PY - 1982

Y1 - 1982

N2 - An analytical solution for the stability of a simple magnetostatic field is derived, including the effects of the dense photosphere and of pressure gradients. A simple equilibrium state is chosen, and the effects of line-tying and of pressure gradients are considered. The model loop consists of a uniform cylinder of axial flux, surrounded by a purely azimuthal field and separated by a current sheet of thickness 2(delta). The sharp pinch is studied in which delta goes to zero.

AB - An analytical solution for the stability of a simple magnetostatic field is derived, including the effects of the dense photosphere and of pressure gradients. A simple equilibrium state is chosen, and the effects of line-tying and of pressure gradients are considered. The model loop consists of a uniform cylinder of axial flux, surrounded by a purely azimuthal field and separated by a current sheet of thickness 2(delta). The sharp pinch is studied in which delta goes to zero.

KW - Coronal Loops

KW - Magnetohydrodynamic Stability

KW - Magnetostatics

KW - Pressure Effects

KW - Pressure Gradients

KW - Current Sheets

KW - Cylinders

KW - Lines Of Force

KW - Photosphere

UR - https://www.scopus.com/pages/publications/0020427098

U2 - 10.1080/03091928208213655

DO - 10.1080/03091928208213655

M3 - Article

SN - 0309-1929

VL - 20

SP - 247

EP - 263

JO - Geophysical and Astrophysical Fluid Dynamics

JF - Geophysical and Astrophysical Fluid Dynamics

ER -

Effect of pressure gradients and line-tying on the magnetic stability of coronal loops

Abstract

Keywords

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