Abstract
A model is developed for small-amplitude waves propagating in a magnetically structured plasma with anisotropic pressures. Closure of the magnetohydrodynamic (MHD) equations is provided by a pair of polytropic laws, p⊥ρ−1B1−γ⊥= C⊥ and p∥ρ−γ∥Bγ∥−1 = C∥, such that for γ⊥=2, γ∥=3 the usual Chew–Goldberger–Low double-adiabatic expressions are recovered and for γ⊥=1, γ∥=1 double-isothermal conditions are obtained [L.-N. Hau and B. U. Ö. Sonnerup, Geophys. Res. Lett. 20, 1763 (1993)]. The wave equation represents the counterpart of that obtained for the isotropic plasma using the single energy equation, pρ−γ=C. Two applications are considered: the occurrence of surface waves on a magnetic interface and the field-line resonance.
Published Version
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