MHD equilibrium

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The ideal Magneto-HydroDynamic (MHD) equilibrium of a near-Maxwellian magnetically confined plasma is obtained by solving the force balance equation

where

is the plasma current, subject to appropriate boundary conditions. The word "ideal" refers to the absence of resistivity.

In two dimensions (assuming axisymmetry), the force balance equation reduces to the Grad-Shafranov equation.

A large number of codes is available to evaluate MHD equilibria.

2-D codes

3-D codes

References