Tokamak-like Vlasov equilibria

Abstract

Vlasov equilibria of axisymmetric plasmas with vacuum toroidal magnetic field can be reduced, up to a selection of ions and electrons distributions functions, to a Grad-Shafranov-like equation. Quasineutrality narrow the choice of the distributions functions. In contrast to two-dimensional translationally symmetric equilibria whose electron distribution function consists of a displaced Maxwellian, the toroidal equilibria need deformed Maxwellians. In order to be able to carry through the calculations, this deformation is produced by means of either a Heaviside step function or an exponential function. The resulting Grad-Shafranov-like equations are established explicitly.

11 pages

Cited by in corpus (5)

• From one-dimensional fields to Vlasov equilibria: Theory and application of Hermite polynomials
• Neutral and non-neutral collisionless plasma equilibria for twisted flux tubes: The Gold-Hoyle model in a background field
• Chaotic and integrable magnetic fields in one-dimensional hybrid Vlasov-Maxwell equilibria
• Vlasov tokamak equilibria with shearad toroidal flow and anisotropic pressure
• Axisymmetric hybrid Vlasov equilibria with applications to tokamak plasmas