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A multifluid model is considered for rigid rotor equilibrium in an axisymmetric, semi-infinite, isothermal, fully magnetized plasma column with negligible radial diffusion. The plasma potential profile is self-consistently calculated using a perturbation expansion and is found to be parabolic. The radial ion and electron density distributions are then Gaussians.
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Prasad et al. (1987) studied this question.
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