Theory of 1D Vlasov-Maxwell Equilibria

Michael G. Harrison, Thomas Neukirch

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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.

Original languageEnglish
Title of host publicationCool stars, stellar systems and the sun
EditorsE. Stempels
PublisherAmerican Institute of Physics
Number of pages4
ISBN (Print)978-0-7354-0627-8
Publication statusPublished - 2009
Event15th Cambridge Workshop on Cool Stars, Stellar Systems and the Sun - St Andrews, St Andrews, United Kingdom
Duration: 21 Jul 200825 Jul 2008

Publication series

NameAIP Conference Proceedings
ISSN (Print)0094-243X


Conference15th Cambridge Workshop on Cool Stars, Stellar Systems and the Sun
Country/TerritoryUnited Kingdom
CitySt Andrews


  • Plasmas
  • Sun: magnetic fields
  • Sun: activity
  • Stars: magnetic fields


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