On current sheets in two‐dimensional ideal magnetohydrodynamics caused by pressure perturbations

1994 ◽  
Vol 1 (10) ◽  
pp. 3414-3424 ◽  
Author(s):  
L. Rastätter ◽  
A. Voge ◽  
K. Schindler
Keyword(s):  
Two Dimensional ◽  
Current Sheets ◽  
Ideal Magnetohydrodynamics ◽  
Pressure Perturbations

scholarly journals Topological Catastrophe in Massive Current Sheets

1989 ◽  
Vol 104 (2) ◽  
pp. 285-288
Author(s):  
Ph. Peterle ◽  
J. Hoyvaerts
Keyword(s):  
Boundary Conditions ◽  
Mass Flux ◽  
Flux Ratio ◽  
Continuous Variation ◽  
Two Dimensional ◽  
Cusp Point ◽  
Fixed Boundary ◽  
Current Sheets ◽  
Solar Filaments

AbstractA two-dimensional sheet model for solar filaments (Kippenhahn and Schluter configuration) is considered. We investigate, the quasi-static evolution of gravito-magnetohydrostatic equlibria in exploring the response of massive current sheets to a slow continuous variation of the mass/flux ratio with fixed boundary conditions. A catastrophic behavior of the field topology is found to occur in the sequence following the formation of a cusp point (bifurcation).

Effect of plasma-β on the onset of plasmoid instability in Sweet–Parker current sheets

2014 ◽  
Vol 80 (5) ◽  
pp. 655-665 ◽  
Author(s):  
H. Baty
Keyword(s):  
Magnetic Reconnection ◽  
Temperature Increase ◽  
Numerical Study ◽  
Two Dimensional ◽  
Magnetic Island ◽  
Current Sheets ◽  
A Value ◽  
Similar Dependence ◽  
Definition Of ◽  
Local Temperature Increase

AbstractA numerical study of magnetic reconnection in two-dimensional resistive magnetohydrodynamics for Sweet–Parker current sheets that are subject to plasmoid instability is carried out. The effect of the initial upstream plasma-β on the critical Lundquist number Sc for the onset of plasmoid instability is studied. Our results indicate a weak dependence, with a value of Sc ≃ 1.5 × 104 in the limit of zero β, and a value of Sc ≃ 1 × 104 in the opposite high β regime (β ≫ 1). A similar dependence was previously obtained (Ni et al. 2012 Phys. Plasm. 19, 072902), but with a somewhat much larger variation, that can be largely attributed to the different configuration setup used in their study, and also to the definition of the Lundquist number. This conclusion does not depend significantly on the equilibrium used, i.e. both initial configurations with either plasma density or temperature spatial variations lead to very similar results. Finally, we show that the inner plasmoid structure appears as an under-dense hotted magnetic island, with a local temperature increase that is noticeably strengthened for low β cases.

SLAU2 applied to two-dimensional, ideal magnetohydrodynamics simulations

2020 ◽  
Vol 209 ◽  
pp. 104635 ◽  
Author(s):  
Keiichi Kitamura ◽  
Tomohiro Mamashita ◽  
Dongsu Ryu
Keyword(s):  
Two Dimensional ◽  
Ideal Magnetohydrodynamics
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