Theory of 1D Vlasov-Maxwell Equilibria

Michael G. Harrison; Thomas Neukirch

doi:10.1063/1.3099222

Theory of 1D Vlasov-Maxwell Equilibria

Michael G. Harrison, Thomas Neukirch

School of Mathematics and Statistics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Current sheets are magnetic structures which are important for activity processes in the coronae of the Sun and of other stars. To lowest order current sheets can be described as one-dimensional equilibria of a collisionless plasma described by the Vlasov-Maxwell equations. In the present paper, a general mathematical framework for one-dimensional equilibrium solutions of the Vlasov-Maxwell equations is presented. The equilibrium equations for the magnetic vector potential are equivalent to the motion of a particle in a two-dimensional potential. The theory is applied to some examples for one-dimensional current sheets.

Original language	English
Title of host publication	Cool stars, stellar systems and the sun
Editors	E. Stempels
Publisher	American Institute of Physics
Pages	744-747
Number of pages	4
ISBN (Print)	978-0-7354-0627-8
DOIs	https://doi.org/10.1063/1.3099222
Publication status	Published - 2009
Event	15th Cambridge Workshop on Cool Stars, Stellar Systems and the Sun - St Andrews, St Andrews, United Kingdom Duration: 21 Jul 2008 → 25 Jul 2008

Publication series

Name	AIP Conference Proceedings
Volume	1094
ISSN (Print)	0094-243X

Conference

Conference	15th Cambridge Workshop on Cool Stars, Stellar Systems and the Sun
Country/Territory	United Kingdom
City	St Andrews
Period	21/07/08 → 25/07/08

Keywords

Plasmas
Sun: magnetic fields
Sun: activity
Stars: magnetic fields

Access to Document

10.1063/1.3099222

Solar&Magnetospheric Plasma Theory PP/E1: Solar and Magnetospheric Plasma Theory
Neukirch, T. (PI), Hood, A. W. (CoI), Parnell, C. E. (CoI), Priest, E. (CoI), Roberts, B. (CoI) & Wright, A. N. (CoI)
PPARC - Now STFC
1/04/07 → 31/03/12
Project: Standard

Cite this

@inproceedings{77d6d5387eef4d0482f03b1131eb3efd,

title = "Theory of 1D Vlasov-Maxwell Equilibria",

abstract = "Current sheets are magnetic structures which are important for activity processes in the coronae of the Sun and of other stars. To lowest order current sheets can be described as one-dimensional equilibria of a collisionless plasma described by the Vlasov-Maxwell equations. In the present paper, a general mathematical framework for one-dimensional equilibrium solutions of the Vlasov-Maxwell equations is presented. The equilibrium equations for the magnetic vector potential are equivalent to the motion of a particle in a two-dimensional potential. The theory is applied to some examples for one-dimensional current sheets.",

keywords = "Plasmas, Sun: magnetic fields, Sun: activity, Stars: magnetic fields",

author = "Harrison, {Michael G.} and Thomas Neukirch",

year = "2009",

doi = "10.1063/1.3099222",

language = "English",

isbn = "978-0-7354-0627-8",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics",

pages = "744--747",

editor = "E. Stempels",

booktitle = "Cool stars, stellar systems and the sun",

address = "United States",

note = "15th Cambridge Workshop on Cool Stars, Stellar Systems and the Sun ; Conference date: 21-07-2008 Through 25-07-2008",

}

TY - GEN

T1 - Theory of 1D Vlasov-Maxwell Equilibria

AU - Harrison, Michael G.

AU - Neukirch, Thomas

PY - 2009

Y1 - 2009

N2 - Current sheets are magnetic structures which are important for activity processes in the coronae of the Sun and of other stars. To lowest order current sheets can be described as one-dimensional equilibria of a collisionless plasma described by the Vlasov-Maxwell equations. In the present paper, a general mathematical framework for one-dimensional equilibrium solutions of the Vlasov-Maxwell equations is presented. The equilibrium equations for the magnetic vector potential are equivalent to the motion of a particle in a two-dimensional potential. The theory is applied to some examples for one-dimensional current sheets.

AB - Current sheets are magnetic structures which are important for activity processes in the coronae of the Sun and of other stars. To lowest order current sheets can be described as one-dimensional equilibria of a collisionless plasma described by the Vlasov-Maxwell equations. In the present paper, a general mathematical framework for one-dimensional equilibrium solutions of the Vlasov-Maxwell equations is presented. The equilibrium equations for the magnetic vector potential are equivalent to the motion of a particle in a two-dimensional potential. The theory is applied to some examples for one-dimensional current sheets.

KW - Plasmas

KW - Sun: magnetic fields

KW - Sun: activity

KW - Stars: magnetic fields

U2 - 10.1063/1.3099222

DO - 10.1063/1.3099222

M3 - Conference contribution

SN - 978-0-7354-0627-8

T3 - AIP Conference Proceedings

SP - 744

EP - 747

BT - Cool stars, stellar systems and the sun

A2 - Stempels, E.

PB - American Institute of Physics

T2 - 15th Cambridge Workshop on Cool Stars, Stellar Systems and the Sun

Y2 - 21 July 2008 through 25 July 2008

ER -

Theory of 1D Vlasov-Maxwell Equilibria

Abstract

Publication series

Conference

Keywords

Access to Document

Fingerprint

Projects

Solar&Magnetospheric Plasma Theory PP/E1: Solar and Magnetospheric Plasma Theory

Cite this