An exact collisionless equilibrium for the Force-Free Harris Sheet with low plasma beta

Oliver Douglas Allanson, Thomas Neukirch, Fiona Wilson, Sascha Troscheit

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28 Citations (Scopus)
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Abstract

We present a first discussion and analysis of the physical properties of a new exact collisionless equilibrium for a one-dimensional nonlinear force-free magnetic field, namely, the force-free Harris sheet. The solution allows any value of the plasma beta, and crucially below unity, which previous nonlinear force-free collisionless equilibria could not. The distribution function involves infinite series of Hermite polynomials in the canonical momenta, of which the important mathematical properties of convergence and non-negativity have recently been proven. Plots of the distribution function are presented for the plasma beta modestly below unity, and we compare the shape of the distribution function in two of the velocity directions to a Maxwellian distribution.
Original languageEnglish
Article number102116
Number of pages11
JournalPhysics of Plasmas
Volume22
Issue number10
Early online date26 Oct 2015
DOIs
Publication statusPublished - Oct 2015

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