A detailed investigation of the properties of a Vlasov-Maxwell equilibrium for the force-free Harris sheet

Thomas Neukirch; F. Wilson; M. G. Harrison

doi:10.1063/1.3268771

A detailed investigation of the properties of a Vlasov-Maxwell equilibrium for the force-free Harris sheet

Thomas Neukirch, F. Wilson, M. G. Harrison

School of Mathematics and Statistics

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

Abstract

A detailed discussion is presented of the Vlasov-Maxwell equilibrium for the force-free Harris sheet recently found by Harrison and Neukirch [Phys. Rev. Lett. 102, 135003 (2009)]. The derivation of the distribution function and a discussion of its general properties and their dependence on the distribution function parameters will be given. In particular, the distribution function can be single-peaked or multipeaked in two of the velocity components, with possible implications for stability. The dependence of the shape of the distribution function on the values of its parameters will be investigated and the relation to macroscopic quantities such as the current sheet thickness will be discussed.

Original language	English
Article number	122102
Number of pages	10
Journal	Physics of Plasmas
Volume	16
Issue number	12
DOIs	https://doi.org/10.1063/1.3268771
Publication status	Published - Dec 2009

Keywords

Maxwell equations
Plasma instability
Plasma magnetohydrodynamics
Plasma simulation
Vlasov equation
Magnetic-field
Plasma

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10.1063/1.3268771

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Copyright (2009) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The published article may be found at http://dx.doi.org/10.1063/1.3268771
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SOLAIRE: Solaire
Priest, E. (PI) & Neukirch, T. (CoI)
European Commission
1/06/07 → 31/05/11
Project: Standard
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

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title = "A detailed investigation of the properties of a Vlasov-Maxwell equilibrium for the force-free Harris sheet",

abstract = "A detailed discussion is presented of the Vlasov-Maxwell equilibrium for the force-free Harris sheet recently found by Harrison and Neukirch [Phys. Rev. Lett. 102, 135003 (2009)]. The derivation of the distribution function and a discussion of its general properties and their dependence on the distribution function parameters will be given. In particular, the distribution function can be single-peaked or multipeaked in two of the velocity components, with possible implications for stability. The dependence of the shape of the distribution function on the values of its parameters will be investigated and the relation to macroscopic quantities such as the current sheet thickness will be discussed.",

keywords = "Maxwell equations, Plasma instability, Plasma magnetohydrodynamics, Plasma simulation, Vlasov equation, Magnetic-field, Plasma",

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AU - Neukirch, Thomas

AU - Wilson, F.

AU - Harrison, M. G.

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Y1 - 2009/12

N2 - A detailed discussion is presented of the Vlasov-Maxwell equilibrium for the force-free Harris sheet recently found by Harrison and Neukirch [Phys. Rev. Lett. 102, 135003 (2009)]. The derivation of the distribution function and a discussion of its general properties and their dependence on the distribution function parameters will be given. In particular, the distribution function can be single-peaked or multipeaked in two of the velocity components, with possible implications for stability. The dependence of the shape of the distribution function on the values of its parameters will be investigated and the relation to macroscopic quantities such as the current sheet thickness will be discussed.

AB - A detailed discussion is presented of the Vlasov-Maxwell equilibrium for the force-free Harris sheet recently found by Harrison and Neukirch [Phys. Rev. Lett. 102, 135003 (2009)]. The derivation of the distribution function and a discussion of its general properties and their dependence on the distribution function parameters will be given. In particular, the distribution function can be single-peaked or multipeaked in two of the velocity components, with possible implications for stability. The dependence of the shape of the distribution function on the values of its parameters will be investigated and the relation to macroscopic quantities such as the current sheet thickness will be discussed.

KW - Maxwell equations

KW - Plasma instability

KW - Plasma magnetohydrodynamics

KW - Plasma simulation

KW - Vlasov equation

KW - Magnetic-field

KW - Plasma

U2 - 10.1063/1.3268771

DO - 10.1063/1.3268771

M3 - Article

SN - 1070-664X

VL - 16

JO - Physics of Plasmas

JF - Physics of Plasmas

IS - 12

M1 - 122102

ER -

A detailed investigation of the properties of a Vlasov-Maxwell equilibrium for the force-free Harris sheet

Abstract

Keywords

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Projects

SOLAIRE: Solaire

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

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