Three-dimensional magnetized and rotating hot plasma equilibrium in a gravitational field

Conference poster, 2015

We present analytic and numerical solutions for three-dimensional magnetized axisymmetric equilibria confining rotating hot plasma in a gravitational field. Our solution to the full Shafranov-Grad equation can exhibit strong equatorial plane localization of the plasma density and current, resulting in disk equilibria for the plasma density. We find that a toriodal magnetic field is sometimes necessary to find a equilibrium in the presence of gravity for many cases of interest.