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The orthogonal conductivity of a toroidal plasma is calculated in the fluid regime. If the damping time for toroidally directed angular momentum is τN, the orthogonal conductivity is shown to be σ⊥= (ρc2/B2p)/τn for large τN. Here ρ is the mass density, c is the speed of light, and Bp is the poloidal component of the magnetic field. For large τN, the flow induced by the orthogonal electric field is almost purely toroidal and of magnitude c (Er−E0r)/Bp where E0r is the electric field required for ambipolar diffusion.
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Allen H. Boozer (1976) studied this question.
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