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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 | ||