English

Analytic, quasineutral, two-dimensional Maxwell-Vlasov equilibria

Plasma Physics 2009-10-16 v2

Abstract

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.

Keywords

Cite

@article{arxiv.0909.1745,
  title  = {Analytic, quasineutral, two-dimensional Maxwell-Vlasov equilibria},
  author = {G. N. Throumoulopoulos and H. Tasso},
  journal= {arXiv preprint arXiv:0909.1745},
  year   = {2009}
}

Comments

11 pages, 3 figures

R2 v1 2026-06-21T13:44:29.108Z