VlasovMaxwell system: 2D equilibria, reversed field pinches
Abstract
Exact solutions to the VlasovMaxwell system in the two dimensional circular cylindrical model are presented. The magnetic surfaces are shifted circles for the m = 1 case, where the shift is determined by a parameter (epsilon); (epsilon) = 0 gives concentric circles and represents 1D solutions. For m greater than or equal to 2 cases, the solutions are singular at the origin and the magnetic surfaces contain islands and separatrices. An improved one dimensional model with currents in both the axial and azimuthal directions is also presented. It is shown that this simple finite pressure model can yield field reversed equilibria in the presence of appropriate boundary constraints.
 Publication:

Unknown
 Pub Date:
 August 1991
 Bibcode:
 1991vmsd.rept.....M
 Keywords:

 Atomic Theory;
 Cylindrical Bodies;
 Magnetic Field Configurations;
 Maxwell Equation;
 Reverse Field Pinch;
 Two Dimensional Models;
 Vlasov Equations;
 Distribution Functions;
 Electromagnetic Surface Waves;
 Magnetic Fields;
 Mathematical Models;
 Physics (General)