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

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.
Authors:
; ; ;  [1]
  1. School of Mathematics and Statistics, University of St Andrews, St. Andrews, KY16 9SS (United Kingdom)
Publication Date:
OSTI Identifier:
22486421
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 10; Other Information: (c) 2015 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BOLTZMANN STATISTICS; COLLISIONLESS PLASMA; CONVERGENCE; DISTRIBUTION FUNCTIONS; EQUILIBRIUM; FORCE-FREE MAGNETIC FIELDS; HERMITE POLYNOMIALS; LOW-BETA PLASMA; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; PHYSICAL PROPERTIES