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arXiv · 1401.8228

Tokamak-like Vlasov equilibria

H. Tasso·G. N. Throumoulopoulos
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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.

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H. Tasso, G. N. Throumoulopoulos. 2014-01-31. Tokamak-like Vlasov equilibria. https://doi.org/10.1140/epjd%2Fe2014-50007-9

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