The linear Vlasov theory of the universal instability driven by a density gradient in a unidirectional magnetic field is considered in the slab model with the local approximation. The electrostatic approximation is used, but the full resonant effects of a magnetic field gradient drift are included for the ions. Both electron and ion ∇B effects reduce the growth rate, but the latter is more important. It is shown that the nonresonant ion ∇B approximation fails at relatively low β and that the conventional resonant ion approximation becomes invalid as β increases.
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Winske et al. (1979) studied this question.
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