Axisymmetric toroidal equilibrium with flow and anisotropic pressure
Axisymmetric toroidal plasma equilibria with mass flows and anisotropic pressure are investigated. The equilibrium system is derived for a general functional form of the pressures, which includes both fluid models, such as the magnetohydrodynamic (MHD) and the double-adiabatic models, and Grad's guiding centre model. This allows for detailed comparisons between the models and clarifies how the "first hyperbolic region", occurring in the fluid theory when the poloidal flow is of the order of the poloidal sound speed, can be eliminated in guiding centre theory. In the case of a pure toroidal rotation, macroscopic equations of state are derived from the guiding centre model, characterised by a parallel temperature that is constant on each magnetic surface and a perpendicular temperature that varies with the magnetic field. The outward centrifugal shifts of the magnetic axis and of the mass density profile, due to toroidal rotation, are increased by anisotropy if P(parallel) is less than P(perpendicular), or decreased (and even inverted) if the reverse is true. The guiding centre model shows that poloidal flow produces an inward shift of the density profile, in contrast with the MHD result.
Bibliographic Reference: Report: LRP 388/89 EN (1989)
Availability: Available from Confédération Suisse, Centre de Recherches en Physique des Plasmas, École Polytechnique Fédérale de Lausanne, 21 avenue des Bains, 1007 Lausanne (CH)
Record Number: 199010673 / Last updated on: 1994-12-01
Original language: en
Available languages: en