Free and forced m=0 oscillations of a sharp-boundary Vlasov-fluid screw pinch

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Abstract
A dispersion differential equation is derived from the linearized equations of the Vlasov‐fluid model for a sharp‐boundary screw pinch using a very general fast‐gyration, small‐gyroradius ordering for the ions. Analytic solutions of the dispersion differential equation are obtained. The influence of finite ion gyroradius effects on both free and forced, azimuthally symmetric, small‐amplitude oscillations of the plasma column is studied, and the results are compared and contrasted with the asymptotic guiding center plasma description. The forced oscillations are considered for frequencies at and below the first magnetoacoustic resonance. Small, but finite, ion gyroradii can influence the absorption of resonant magnetoacoustic oscillations strongly.