Cylindrical linear force-free magnetic fields with toroidal flux surfaces

Gert Botha; E. A. Evangelidis

doi:10.1111/j.1365-2966.2004.07658.x

Cylindrical linear force-free magnetic fields with toroidal flux surfaces

Gert Botha^*, E. A. Evangelidis^*

^*Corresponding author for this work

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

Abstract

A linear force-free field solution is presented in cylindrical coordinates, formulated in terms of trigonometric and Bessel functions. A numerical exploration has revealed that this solution describes magnetic field lines that meander in Cartesian space, as well as field lines that lie on toroidal flux surfaces. These tori are in (or close to) the plane perpendicular to the cylindrical axis. Nested tori, as well as tori with shells that have finite thickness, were found. The parameter space of the solution shows that the tori exist within a bounded range of values.

Original language	English
Pages (from-to)	375-384
Number of pages	10
Journal	Monthly Notices of the Royal Astronomical Society
Volume	350
DOIs	https://doi.org/10.1111/j.1365-2966.2004.07658.x
Publication status	Published - 1 May 2004
Externally published	Yes

Keywords

magnetic fields
MHD
Sun: corona
solar wind

Access to Document

10.1111/j.1365-2966.2004.07658.x

Cite this

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title = "Cylindrical linear force-free magnetic fields with toroidal flux surfaces",

abstract = "A linear force-free field solution is presented in cylindrical coordinates, formulated in terms of trigonometric and Bessel functions. A numerical exploration has revealed that this solution describes magnetic field lines that meander in Cartesian space, as well as field lines that lie on toroidal flux surfaces. These tori are in (or close to) the plane perpendicular to the cylindrical axis. Nested tori, as well as tori with shells that have finite thickness, were found. The parameter space of the solution shows that the tori exist within a bounded range of values.",

keywords = "magnetic fields, MHD, Sun: corona, solar wind",

author = "Gert Botha and Evangelidis, \{E. A.\}",

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AU - Botha, Gert

AU - Evangelidis, E. A.

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N2 - A linear force-free field solution is presented in cylindrical coordinates, formulated in terms of trigonometric and Bessel functions. A numerical exploration has revealed that this solution describes magnetic field lines that meander in Cartesian space, as well as field lines that lie on toroidal flux surfaces. These tori are in (or close to) the plane perpendicular to the cylindrical axis. Nested tori, as well as tori with shells that have finite thickness, were found. The parameter space of the solution shows that the tori exist within a bounded range of values.

AB - A linear force-free field solution is presented in cylindrical coordinates, formulated in terms of trigonometric and Bessel functions. A numerical exploration has revealed that this solution describes magnetic field lines that meander in Cartesian space, as well as field lines that lie on toroidal flux surfaces. These tori are in (or close to) the plane perpendicular to the cylindrical axis. Nested tori, as well as tori with shells that have finite thickness, were found. The parameter space of the solution shows that the tori exist within a bounded range of values.

KW - magnetic fields

KW - MHD

KW - Sun: corona

KW - solar wind

U2 - 10.1111/j.1365-2966.2004.07658.x

DO - 10.1111/j.1365-2966.2004.07658.x

M3 - Article

SN - 0035-8711

VL - 350

SP - 375

EP - 384

JO - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

ER -