The condition of magnetohydrostatic equilibrium implies tight constraints on the degree of anisotropy that is supportable in a magnetotail field geometry. If the plasma pressure tensor is assumed to be gyrotropic at the tail midplane (z=0), then equilibrium requires that it also be nearly isotropic there, with P⟂o/P//o in the range 1 ± δ2 where δ∼0.1 is the ratio of the normal field component at the symmetry plane to the field strength in the tail lobe. The upper and lower limits are essentially equivalent, respectively, to the marginal mirror and firehose stability conditions evaluated at z=0, which have been invoked previously to limit the degree of anisotropy in the plasma sheet.
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Hill et al. (1992) studied this question.
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