Scalar pressure equilibria in which the divergence of the parallel current density vanishes are shown to be free of neoclassical transport (omnigenous), for any asymmetry, any plasma β, and in any collisionality regime. The explicit constraint that eliminates neoclassical effects in a long, thin mirror equilibrium in the low-β limit is derived, and some model fields considered.
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Catto et al. (1981) studied this question.
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