Computer studies on the spontaneous fast reconnection evolution in a force-free current sheet system

2002 ◽  
Vol 9 (3) ◽  
pp. 816-823 ◽  
Author(s):  
M. Ugai ◽  
T. Shimizu
Keyword(s):  
Current Sheet ◽  
Free Current ◽  
Computer Studies ◽  
Fast Reconnection

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

2018 ◽  
Vol 84 (3) ◽  
Author(s):  
F. Wilson ◽  
T. Neukirch ◽  
O. Allanson
Keyword(s):  
Distribution Function ◽  
Current Sheet ◽  
Plasma Phys ◽  
Distribution Functions ◽  
Hermite Functions ◽  
Slow Convergence ◽  
Nonlinear Force ◽  
Free Current ◽  
Transformed Distribution ◽  
General Method

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 (Allansonet al.,Phys. Plasmas, vol. 22 (10), 2015, 102116; Allansonet 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.

scholarly journals A two-fluid study of oblique tearing modes in a force-free current sheet

2016 ◽  
Vol 23 (1) ◽  
pp. 012112 ◽  
Author(s):  
Cihan Akçay ◽  
William Daughton ◽  
Vyacheslav S. Lukin ◽  
Yi-Hsin Liu
Keyword(s):  
Current Sheet ◽  
Tearing Modes ◽  
Free Current ◽  
Two Fluid
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