Three-dimensional magnetized and rotating hot plasma equilibrium and stability in a gravitational field
Paper in proceedings, 2015

We present analytic solutions for three-dimensional magnetized axisymmetric equilibria confining rotating hot plasma in a gravitational field. Our solution to the full Grad-Shafranov equation can exhibit strong equatorial plane localization of the plasma density and current, resulting in disk equilibria for the plasma density. Unlike in [P.J. Catto et al, 2015, J. Plasma Physics 81, 105810301], we find a toriodal magnetic field is necessary to find a equilibrium in the presence of gravity for most cases of interest. We expect our results to provide impetus to re-investigate magneto-rotational stability.

Grad-Shafranov equation

plasma equilibrium

accretion disk


Peter J. Catto

Massachusetts Institute of Technology (MIT)

Sergei I. Krasheninnikov

University of California

Istvan Pusztai

Chalmers, Applied Physics, Nuclear Engineering

Europhysics Conference Abstracts

Vol. 39E O2.401-

Subject Categories

Astronomy, Astrophysics and Cosmology

Fusion, Plasma and Space Physics



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