Journal ArticleDOI
Energy principle for two-dimensional resistive instabilities
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In this article, an energy principle for 2-d resistive instabilities has been found, which leads to a necessary and sufficient condition for stability allowing the use of test functions.Abstract:
An energy principle for 2-d resistive instabilities has been found. It leads to a necessary and sufficient condition for stability allowing the use of test functions. One simple consequence is that the current density in a plasma with arbitrary cross section should not increase to the outside. Otherwise the plasma would be unstable against resistive instabilities.read more
Citations
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Resistive tearing mode in weakly two‐dimensional neutral sheets
TL;DR: In this article, a normal mode analysis is performed by rigorous application of the singular perturbation technique, i.e., the scalings are determined from the significant degeneration of the differential operator and matching is accomplished by the overlap hypothesis.
Journal ArticleDOI
Stability of two-dimensional pre-flare structures
TL;DR: In this paper, the stability of the lower part of the solution curve (minimal solutions) of a two-ribbon solar flare is investigated in the framework of ideal magnetohydrodynamics and Vlasov theory.
Journal ArticleDOI
Energy Principle for 3-d Resistive Instabilities in Shaped-cross-section Tokamaks
Henri Tasso,J. Virtamo +1 more
TL;DR: In this paper, an energy principle for "helical" incompressible perturbations in shaped cross-section plasmas is derived in the Tokamak scaling (epsilon identical to ka approximately=Bperpendicular to /Bz<<1).
Journal ArticleDOI
Low frequency response of a resistive plasma to axially independent or axisymmetric perturbations
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Reconnection in the near-Earth plasma sheet: A three-dimensional model
TL;DR: In this article, the authors present results of three-dimensional MHD simulations of reconnection in the near-Earth plasma sheet using two-dimensional start configurations which include the Earth's dipole field explicitly and 3D resistivity profiles.
References
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Journal ArticleDOI
Stability of Two-Dimensional Collision-Free Plasmas
K. Schindler,D. Pfirsch,H. Wobig +2 more
TL;DR: In this article, the stability of plasma equilibria is analyzed in the framework of two-dimensional Vlasov theory, where the perturbations are constant along the direction of the equilibrium current.