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Abstract
So far, only one distribution function giving rise to a collisionless
nonlinear forcefree 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
and then, as a specific example, discuss the case for N = 2
in detail.
Original language  English 

Article number  905840309 
Number of pages  32 
Journal  Journal of Plasma Physics 
Volume  84 
Issue number  3 
DOIs  
Publication status  Published  14 Jun 2018 
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Dive into the research topics of 'Collisionless distribution functions for forcefree current sheets: using a pressure transformation to lower the plasma beta'. Together they form a unique fingerprint.Projects
 2 Finished

Plasma Theory: Solar and Magnetospheric Plasma Theory
Hood, A. W., Mackay, D. H., Neukirch, T., Parnell, C. E., Priest, E. R., Archontis, V., Cargill, P., De Moortel, I. & Wright, A. N.
Science & Technology Facilities Council
1/04/13 → 31/03/16
Project: Standard