Tokamak-like Vlasov equilibria

  • Henri Tasso
  • George ThroumoulopoulosEmail author
Regular Article
Part of the following topical collections:
  1. Topical issue: Theory and Applications of the Vlasov Equation


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.


Magnetic Axis Vlasov Equation Electron Distribution Function Heaviside Step Function Pressure Gradient Force 
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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Max-Planck-Institut für PlasmaphysikGarching bei MünchenGermany
  2. 2.Department of PhysicsUniversity of Ioannina, Association Euratom-Hellenic RepublicIoanninaGreece

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