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, some toroidal equilibria need deformed Maxwellians. In order to be able to carry through the calculations, the two cases considered here are produced by means of either a Heaviside step function or an exponential function. The resulting Grad-Shafranov-like equations are established explicitly.
CITATION STYLE
Tasso, H., & Throumoulopoulos, G. (2014). Tokamak-like Vlasov equilibria. European Physical Journal D, 68(6). https://doi.org/10.1140/epjd/e2014-50007-9
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