https://doi.org/10.1140/epjd/e2014-50007-9
Regular Article
Tokamak-like Vlasov equilibria*
1
Max-Planck-Institut für Plasmaphysik, Euratom Association, 85748
Garching bei München,
Germany
2
Department of Physics, University of Ioannina, Association Euratom-Hellenic
Republic,
451
10
Ioannina,
Greece
a
e-mail: gthroum@cc.uoi.gr
Received: 2 January 2014
Received in final form: 27 February 2014
Published online: 27 June 2014
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.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2014