MHD equilibrium: Difference between revisions

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:<math>\vec \nabla p = \vec j \times \vec B</math>
:<math>\vec \nabla p = \vec j \times \vec B</math>


where
where ''B'' is the magnetic field (divergence-free) and


:<math>\mu_0 \vec j = \vec \nabla \times \vec B</math>
:<math>\mu_0 \vec j = \vec \nabla \times \vec B</math>


is the plasma current, subject to appropriate boundary conditions.
is the plasma current, subject to appropriate boundary conditions.
The word "static" refers to the assumption of zero flow, while the
The word "static" refers to the assumption of zero flow, while "ideal" refers to the absence of resistivity.
word "ideal" refers to the absence of resistivity.
Here, the pressure ''p'' is assumed to be isotropic, but a generalization
Here, the pressure ''p'' is assumed to be isotropic, but a generalization
for non-isotropic pressure is possible.
for non-isotropic pressure is possible.

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