Kinetic models of two-dimensional plane and axially symmetric current sheets: Group theory approach

In this paper, we present new class of solutions of Grad-Shafranov-like (GS-like) equations, describing kinetic plane and axially symmetric 2D current sheets. We show that these equations admit symmetry groups only for Maxwellian and κ-distributions of charged particles. The admissible symmetry grou...

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Bibliographic Details
Published in:Physics of plasmas 2013-02, Vol.20 (2)
Main Authors: Vasko, I. Y., Artemyev, A. V., Popov, V. Y., Malova, H. V.
Format: Article
Language:English
Subjects:
AXIAL SYMMETRY
CHARGED PARTICLES
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EQUILIBRIUM
GROUP THEORY
MAGNETIC FIELDS
MATHEMATICAL SOLUTIONS
PLASMA
SIMULATION
SPATIAL DISTRIBUTION
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS
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Summary:In this paper, we present new class of solutions of Grad-Shafranov-like (GS-like) equations, describing kinetic plane and axially symmetric 2D current sheets. We show that these equations admit symmetry groups only for Maxwellian and κ-distributions of charged particles. The admissible symmetry groups are used to reduce GS-like equations to ordinary differential equations for invariant solutions. We derive asymptotes of invariant solutions, while invariant solutions are found analytically for the κ-distribution with κ=7/2. We discuss the difference of obtained solutions from equilibria widely used in other studies. We show that κ regulates the decrease rate of plasma characteristics along the current sheet and determines the spatial distribution of magnetic field components. The presented class of plane and axially symmetric (disk-like) current sheets includes solutions with the inclined neutral plane.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.4792263