scholarly journals The Tearing Instability of Resistive Magnetohydrodynamics

2019 ◽  
pp. 37-67
Author(s):  
David MacTaggart
Keyword(s):  
Tearing Instability

scholarly journals Tubular Pinch and Tearing Instability

1969 ◽  
Vol 12 (10) ◽  
pp. 2099 ◽  
Author(s):  
Oscar A. Anderson
Keyword(s):  
Tearing Instability

Kinetic theory of tearing instability

1975 ◽  
Vol 18 (12) ◽  
pp. 1778 ◽  
Author(s):  
R. D. Hazeltine ◽  
D. Dobrott ◽  
T. S. Wang
Keyword(s):  
Kinetic Theory ◽  
Tearing Instability

Double tearing instability with shear flow

1992 ◽  
Vol 4 (9) ◽  
pp. 2751-2757 ◽  
Author(s):  
L. Ofman
Keyword(s):  
Shear Flow ◽  
Tearing Instability

Two-fluid tearing instability in force-free magnetic configuration

2004 ◽  
Vol 11 (9) ◽  
pp. 4468-4482 ◽  
Author(s):  
V. V. Mirnov ◽  
C. C. Hegna ◽  
S. C. Prager
Keyword(s):  
Magnetic Configuration ◽  
Tearing Instability ◽  
Two Fluid

Tearing instability of a flat current layer with finite ionic viscosity

1985 ◽  
Vol 26 (2) ◽  
pp. 155-162
Author(s):  
V. V. Gatilov ◽  
A. M. Sagalakov ◽  
V. F. Ul'chenko
Keyword(s):  
Current Layer ◽  
Tearing Instability ◽  
Flat Current

scholarly journals The non-modal onset of the tearing instability

2018 ◽  
Vol 84 (5) ◽  
Author(s):  
D. MacTaggart
Keyword(s):  
Initial Conditions ◽  
Linear Equations ◽  
Initial Perturbation ◽  
Transient Growth ◽  
Tearing Mode ◽  
Eigenvalue Spectrum ◽  
Tearing Instability ◽  
Set Up ◽  
Solution Behaviour ◽  
Physical Quantities

We investigate the onset of the classical magnetohydrodynamic (MHD) tearing instability (TI) and focus on non-modal (transient) growth rather than the tearing mode. With the help of pseudospectral theory, the operators of the linear equations are shown to be highly non-normal, resulting in the possibility of significant transient growth at the onset of the TI. This possibility increases as the Lundquist number$S$increases. In particular, we find evidence, numerically, that the maximum possible transient growth, measured in the$L_{2}$-norm, for the classical set-up of current sheets unstable to the TI, scales as$O(S^{1/4})$on time scales of$O(S^{1/4})$for$S\gg 1$. This behaviour is much faster than the time scale$O(S^{1/2})$when the solution behaviour is dominated by the tearing mode. The size of transient growth obtained is dependent on the form of the initial perturbation. Optimal initial conditions for the maximum possible transient growth are determined, which take the form of wave packets and can be thought of as noise concentrated at the current sheet. We also examine how the structure of the eigenvalue spectrum relates to physical quantities.

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