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Title:
One-Dimensional Vlasov-Maxwell Equilibrium for the Force-Free Harris Sheet
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:
Physical Review Letters, vol. 102, Issue 13, id. 135003 (PhRvL Homepage)
Publication Date:
04/2009
Origin:
APS
PACS Keywords:
Elementary processes in plasmas, Magnetized plasmas, Magnetic confinement and equilibrium, Fokker-Planck and Vlasov equation
Abstract Copyright:
(c) 2009: The American Physical Society
DOI:
10.1103/PhysRevLett.102.135003
Bibliographic Code:
2009PhRvL.102m5003H

Abstract

In this Letter, the first nonlinear force-free Vlasov-Maxwell equilibrium is presented. One component of the equilibrium magnetic field has the same spatial structure as the Harris sheet, but whereas the Harris sheet is kept in force balance by pressure gradients, in the force-free solution presented here force balance is maintained by magnetic shear. Magnetic pressure, plasma pressure and plasma density are constant. The method used to find the equilibrium is based on the analogy of the one-dimensional Vlasov-Maxwell equilibrium problem to the motion of a pseudoparticle in a two-dimensional conservative potential. The force-free solution can be generalized to a complete family of equilibria that describe the transition between the purely pressure-balanced Harris sheet to the force-free Harris sheet.
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