Magnetogravitational instability of a Vlasov plasma

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Abstract
A complete derivation of the moment equations of a Vlasov plasma has been presented separately for the three density domains, namely the high-density regime (b→0), the moderate-density regime [bϵ ≃ O(1)] and the low-density regime [bϵ2 ≃ O(1)] with b as the ratio of Alfvén velocity to light velocity and ϵ = a/L where a is the ion Larmor radius and L, the characteristic length of the system. These moment equations are then employed to investigate the effect of finite β (= particle pressure/magnetic pressure) on gravitational flute instability of a non-uniform plasma. It is shown that the effect of finite β is one of stabilization.