Spectral computation of tandem mirror equilibria with finite Larmor radius effects

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Earth Magnetosphere, Larmor Radius, Plasma Equilibrium, Solar Wind, Space Plasmas, Tandem Mirrors, Equilibrium Equations, Iterative Solution, Plasma Drift, S Waves, Steepest Descent Method

Scientific paper

A direct iterative method of solving for tandem equilibria by moving magnetic field lines in a manner to satisfy the linearized equilibrium equations converges much more rapidly than standard relaxation techniques, typically in under fifty iterations. At the highest beta's the number of iterations increase, but is still far smaller than in other methods. In quadrupole tandem mirror equilibrium, octupole and higher distortions of the flux surfaces are important which makes it necessary to abandon finite differences in the angle-like flux variable and resort to a spectral decomposition to solve the equilibrium equations. Equilibria at the high beta expected for MFTF-B are displayed and it is shown how finite Larmor radius effects strongly suppress these azimuthal distortions.

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