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On MHD waves, fire-hose and mirror instabilities in anisotropic plasmas

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Figure 2 shows the threshold condition on the −δBδρ>β β⊥,i versus θplot for the parameter values of p⊥,i/p∥,i=0.1, 0.5, 0.7, 0.8;(γ∥,i, γ⊥,i) = (1, 1)or (1, 2); and isothermal electrons with∥,e=0.1β∥,i, β⊥,e/β∥,e=0.5
Fig. 1.Critical conditions for slow waves to propagate fasterandthan the intermediate waves for different pairs of (γ∥,i, γ⊥,i) γ∥,e=1, γ⊥,e=1,β⊥,e=β⊥,i/10, β∥,e/β⊥,e=1.5.The re-gions above and below the threshold curves correspond to(ω/k)s>(ω/k)i and (ω/k)i>(ω/k)s, respectively.
Fig. 3. The growth rate of compressible (dashed curves) and in-compressible (solid curves) fire-hose instabilities as function of θfor the parameter values of β⊥,i=0.5, β∥,i=3, γ⊥,i=2, γ∥,i=1/2,γ∥,e=1, γ⊥,e=1 and for various values of (β∥,e, β⊥,e).
Fig. 5.Spatial profiles of various quantities atnonlinear slow waves withrameter values used are: t=28tA for the (ω/k)s>(ω/k)i and δBδρ<0; the pa- β⊥,i=3, β∥,i=1.8, θ=400, and γ⊥,i=2,γ∥,i=3.
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