Collisionless distribution functions for force-free current sheets: using a pressure transformation to lower the plasma beta

Wilson, F., Neukirch, T. and Allanson, Oliver (2018) Collisionless distribution functions for force-free current sheets: using a pressure transformation to lower the plasma beta. Journal of Plasma Physics, 84 (3). p. 905840309. ISSN 0022-3778

[img]
Preview
Text
final_version.pdf - Accepted Version

Download (3MB) | Preview
Official URL: https://doi.org/10.1017/S0022377818000570

Abstract

So far, only one distribution function giving rise to a collisionless nonlinear force-free current sheet equilibrium allowing for a plasma beta less than one is known (Allanson et al., Phys. Plasmas, vol. 22 (10), 2015, 102116; Allanson et al., J. Plasma Phys., vol. 82 (3), 2016a, 905820306). This distribution function can only be expressed as an infinite series of Hermite functions with very slow convergence and this makes its practical use cumbersome. It is the purpose of this paper to present a general method that allows us to find distribution functions consisting of a finite number of terms (therefore easier to use in practice), but which still allow for current sheet equilibria that can, in principle, have an arbitrarily low plasma beta. The method involves using known solutions and transforming them into new solutions using transformations based on taking integer powers ( N ) of one component of the pressure tensor. The plasma beta of the current sheet corresponding to the transformed distribution functions can then, in principle, have values as low as 1/N . We present the general form of the distribution functions for arbitrary N and then, as a specific example, discuss the case for N=2 in detail.

Item Type: Article
Uncontrolled Keywords: astrophysical plasmas, space plasma physics
Subjects: F300 Physics
G900 Others in Mathematical and Computing Sciences
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: John Coen
Date Deposited: 11 Dec 2020 15:39
Last Modified: 11 Dec 2020 15:45
URI: http://nrl.northumbria.ac.uk/id/eprint/44971

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics