A family of one-dimensional Vlasov-Maxwell equilibria for the force-free Harris sheet

Fiona Wilson, Thomas Neukirch

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

A family of self-consistent collisionless distribution functions for the force-free Harris sheet is presented. This family includes the distribution function recently found by Harrison and Neukirch [Phys. Rev. Lett. 102, 135003 (2009)] as well as distribution functions with a different dependence on the particle energy, but with the same dependence on the canonical momenta. It is shown generally that the other distribution functions in the family give rise to the same pressure function and, thus, to the same current density and magnetic field as the known distribution function, provided certain conditions on the parameters are satisfied. A number of examples of distribution functions from the new family are given, which illustrate the use of the general method. (C) 2011 American Institute of Physics. [doi:10.1063/1.3623740]

Original languageEnglish
Article number082108
Number of pages8
JournalPhysics of Plasmas
Volume18
Issue number8
DOIs
Publication statusPublished - Aug 2011

Keywords

  • Plasma confinement
  • Plasma simulation
  • Plasma theory
  • Plasma transport processes
  • Vlasov equation

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