On non existence of tokamak equilibria with purely poloidal flow

Abstract

It is proved that irrespective of compressibility tokamak steady states with purely poloidal mass flow can not exist in the framework of either magnetohydrodynamics (MHD) or Hall MHD models. Non-existence persists within single fluid plasma models with pressure anisotropy and incompressible flows.

arXiv commentThe conclusion reported in the last sentence of the first paragraph of Sec. V in the version of the paper published in Physics of Plasmas is incorrect. The correct conclusion is given here (15 pages)

References in corpus (3)

• Cylindrical ideal magnetohydrodynamic equilibria with incompressible flows
• Azimuthally symmetric MHD and two-fluid equilibria with arbitrary flows
• Exact magnetohydrodynamic equilibria with flow and effects on the Shafranov shift

Cited by in corpus (5)

• Nonlinear translational symmetric equilibria relevant to the L-H transition
• Two dimensional nonlinear cylindrical equilibria with reversed magnetic shear and sheared flow
• A comparison of Vlasov with drift kinetic and gyrokinetic theories
• Steady plasma flows in a periodic non-symmetric domain
• Vlasov versus reduced kinetic theories for helically symmetric equilibria