On axisymmetric double adiabatic MHD equilibria with plasma flow
نویسندگان
چکیده
The stationary equilibrium of an axisymmetric plasma characterized by toroidal and poloidal flows is considered within the framework of ideal double adiabatic magnetohydrodynamic equations. The problem is reduced to a nonlinear partial differential equation for the poloidal magnetic flux function, containing six surface functions, plus a nonlinear algebraic Bernoulli equation defining the plasma density. Ellipticity conditions and bifurcations of its solutions are discussed in the limit of small beta, appropriated for tokamak-like equilibria. Possible connections with the L–H transition are suggested.
منابع مشابه
Tokamak Plasma Equilibria and Axisymmetric Stability with a Zero Total Toroidal Current
Several tokamak experiments have reported the existence of plasma equilibria with a zero total toroidal current in their AC operations. By taking a plasma profile model based on linear functions of the poloidal flux function ψ , a variety of equilibrium configurations with a zero total toroidal current have been found. The MHD_N0 stability code [1] is able to compute axisymmetric mode stability...
متن کاملStability of Axisymmetric Plasmas in Closed Line Magnetic Fields
The stability of axisymmetric plasmas confined by closed poloidal magnetic field lines is considered. The results are relevant to plasmas in the dipolar fields of stars and planets, as well as the Levitated Dipole Experiment, multipoles, Z pinches and field reversed configurations. The ideal MHD energy principle is employed to study the stability of pressure driven shear Alfvén modes. A point d...
متن کاملNon-ideal MHD ballooning modes in three-dimensional configurations
A linear stability theory of non-ideal MHD ballooning modes is investigated using a two fluid model for arbitrary three-dimensional electron-ion plasmas. Resistive-inertia ballooning mode (RIBM) eigenvalues and eigenfunctions are calculated for a variety of equilibria including axisymmetric shifted circular geometry (s − α model) and configurations of interest to the Helically Symmetric Stellar...
متن کاملStability to Localized Modes for a Class of Axisymmetric Magnetohydrodynamic Equilibria
Mercier's criterion is computed numerically for an exact class of axisymmetric MHD equilibria having possibly elliptical cross sections and a flat current profile. The main result is that the toroidal current density and the plasma beta can be increased by one order of magnitude if a) the eccentricity of the magnetic surfaces, b) the poloidal current, and c) the aspect ratio are adequately chos...
متن کاملOn resistive magnetohydrodynamic equilibria of an axisymmetric toroidal plasma with flow
It is shown that the magnetohydrodynamic equilibrium states of an axisymmetric toroidal plasma with finite resistivity and flows parallel to the magnetic field are governed by a second-order partial differential equation for the poloidal magnetic flux function ψ coupled with a Bernoulli type equation for the plasma density (which are identical in form to the corresponding ideal MHD equilibrium ...
متن کامل