Analytic, quasineutral, two-dimensional Maxwell-Vlasov equilibria

Details Analytic, quasineutral, two-dimensional Maxwell-Vlasov equilibria Analytic, quasineutral, two-dimensional Maxwell-Vlasov equilibria

2009-09-09

arxiv.org/abs/0909.1745v2

Physics

Plasma Physics

11 pages, 3 figures

Scientific paper

Two-dimensional Maxwell-Vlasov equilibria with finite electric fields, axial ("toroidal") plasma flow and isotropic pressure are constructed in plane geometry by using the quasineutrality condition to express the electrostatic potential in terms of the vector potential. Then for Harris-type distribution functions, Ampere's equation becomes of Liouville type and can be solved analytically. As an example, a periodic "cat-eyes" steady state consisting of a row of magnetic islands is presented. The method can be extended to (toroidal) axisymmetric equilibria.

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