MHD equilibrium: Difference between revisions

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


:<math>\vec \nabla p = \vec j \times \vec B</math>
:<math>\vec \nabla p = \vec j \times \vec B</math>
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is the plasma current, subject to appropriate boundary conditions.
is the plasma current, subject to appropriate boundary conditions.
The word "ideal" refers to the absence of resistivity.
The word "static" refers to the assumption of zero flow, while the
word "ideal" refers to the absence of resistivity.
Here, the pressure ''p'' is assumed to be isotropic, but a generalization
for non-isotropic pressure is possible.


In two dimensions (assuming axisymmetry), the force balance equation reduces to the  
In two dimensions (assuming axisymmetry), the force balance equation reduces to the  

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