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Title:
Theory of 1D Vlasov-Maxwell Equilibria
Authors:
Harrison, Michael G.; Neukirch, Thomas
Affiliation:
AA(School of Mathematics and Statistics, University of St. Andrews, St. Andrews, KY16 9SS, United Kingdom), AB(School of Mathematics and Statistics, University of St. Andrews, St. Andrews, KY16 9SS, United Kingdom)
Publication:
COOL STARS, STELLAR SYSTEMS AND THE SUN: Proceedings of the 15th Cambridge Workshop on Cool Stars, Stellar Systems and the Sun. AIP Conference Proceedings, Volume 1094, pp. 744-747 (2009). (AIPC Homepage)
Publication Date:
02/2009
Origin:
AIP
PACS Keywords:
Electric and magnetic fields, solar magnetism, Magnetic and electric fields; polarization of starlight, Stellar activity
DOI:
10.1063/1.3099222
Bibliographic Code:
2009AIPC.1094..744H

Abstract

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 described 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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