Equilibrium of flowing plasma in tokamak in the frame of Hall magnetohydrodynamics

摘要

The stationary toroidal rotation of a plasma in an axisymmetric magnetic field is studied both analytically and numerically in the frame of Hall magnetohydrodynamics (HMHD). The HMHD analogue of the Grad-Shafranov equation is derived for an axisymmetric magnetic confinement configuration (like a tokamak) in the form admitting the simple transition to the limit of one-fluid magnetohydrodynamics (MHD). It is shown that HMHD restricts the freedom of stationary plasma parameters more than one-fluid MHD. The stationary solutions of the certain class are optimized to reach higher values of the ratio beta of the plasma pressure to the magnetic field pressure. [References: 13]