Collisionless distribution function for the relativistic force-free Harris sheet

Craig R. Stark, T. Neukirch

Research output: Contribution to journalArticle

11 Citations (Scopus)
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Abstract

A self-consistent collisionless distribution function for the relativistic analogue of the force-free Harris sheet is presented. This distribution function is the relativistic generalization of the distribution function for the non-relativistic collisionless force-free Harris sheet recently found by Harrison and Neukirch [Phys. Rev. Lett. 102, 135003 (2009)], as it has the same dependence on the particle energy and canonical momenta. We present a detailed calculation which shows that the proposed distribution function generates the required current density profile (and thus magnetic field profile) in a frame of reference in which the electric potential vanishes identically. The connection between the parameters of the distribution function and the macroscopic parameters such as the current sheet thickness is discussed.
Original languageEnglish
Article number012115
JournalPhysics of Plasmas
Volume19
Issue number1
DOIs
Publication statusPublished - Jan 2012

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distribution functions
current sheets
profiles
particle energy
analogs
current density
momentum
electric potential
magnetic fields

Cite this

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Collisionless distribution function for the relativistic force-free Harris sheet. / Stark, Craig R.; Neukirch, T.

In: Physics of Plasmas, Vol. 19, No. 1, 012115, 01.2012.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Collisionless distribution function for the relativistic force-free Harris sheet

AU - Stark, Craig R.

AU - Neukirch, T.

PY - 2012/1

Y1 - 2012/1

N2 - A self-consistent collisionless distribution function for the relativistic analogue of the force-free Harris sheet is presented. This distribution function is the relativistic generalization of the distribution function for the non-relativistic collisionless force-free Harris sheet recently found by Harrison and Neukirch [Phys. Rev. Lett. 102, 135003 (2009)], as it has the same dependence on the particle energy and canonical momenta. We present a detailed calculation which shows that the proposed distribution function generates the required current density profile (and thus magnetic field profile) in a frame of reference in which the electric potential vanishes identically. The connection between the parameters of the distribution function and the macroscopic parameters such as the current sheet thickness is discussed.

AB - A self-consistent collisionless distribution function for the relativistic analogue of the force-free Harris sheet is presented. This distribution function is the relativistic generalization of the distribution function for the non-relativistic collisionless force-free Harris sheet recently found by Harrison and Neukirch [Phys. Rev. Lett. 102, 135003 (2009)], as it has the same dependence on the particle energy and canonical momenta. We present a detailed calculation which shows that the proposed distribution function generates the required current density profile (and thus magnetic field profile) in a frame of reference in which the electric potential vanishes identically. The connection between the parameters of the distribution function and the macroscopic parameters such as the current sheet thickness is discussed.

U2 - 10.1063/1.3677268

DO - 10.1063/1.3677268

M3 - Article

VL - 19

JO - Physics of Plasmas

JF - Physics of Plasmas

SN - 1070-664X

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