PPT Slide
Cold plasma equilibrium density
In addition to the momentum and continuity equations, the equilibrium must also satisfy Poisson’s equation:
Generally, this does not lead to solutions where the plasma density is constant on a magnetic surface - only in special cases with a high degree of symmetry, or if ?(?) is chosen very carefully. And in a single component plasma, one has to satisfy the constraint
everywhere in the plasma and vacuum region. For a given
magnetic geometry, this constrains the choice of ?(?)