Theory of 1D Vlasov-Maxwell Equilibria
Author(s) -
M. Harrison,
T. Neukirch,
Eric Stempels
Publication year - 2009
Publication title -
aip conference proceedings
Language(s) - English
Resource type - Conference proceedings
SCImago Journal Rank - 0.177
H-Index - 75
eISSN - 1551-7616
pISSN - 0094-243X
DOI - 10.1063/1.3099222
Subject(s) - vlasov equation , maxwell's equations , physics , plasma modeling , plasma , current (fluid) , classical mechanics , equations of motion , magnetic field , mechanics , thermodynamics , quantum mechanics
Current sheets are magnetic structures which are important for activity processes in the coronae of the Sun and of other stars. To lowest order current sheets can be described as one- dimensional equilibria of a collisionless plasma describe d by the Vlasov-Maxwell equations. In the present paper, a general mathematical framework for one-dimensional equilibrium solutions of the Vlasov-Maxwell equations is presented. The equilibrium equations for the magnetic vector potential are equivalent to the motion of a particle in a two-dimensional potential.The theory is applied to some examples for one-dimensional current sheets.
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