Abstract
A theoretical formulation is derived for analyzing linearized equations appropriate to a straight, cylindrical, sharp-boundary screw pinch within the framework of the Vlasov-fluid model. Surrounding the plasma is a cylindrical conducting wall, and there is a nonconducting vacuum between the plasma and the wall. By introducing a perturbation-dependent transformation of the phase space and linearizing about a zeroth-order state which depends on the perturbation, the linearized equations of Freidberg’s Vlasov-fluid model are put into a form which would be correct for a hypothetical problem in which the plasma boundary is a rigid cylinder. The effects of the impulsive electric field at the actual perturbed boundary are taken into account in the zeroth-order state. The boundary conditions at the perturbed plasma boundary are continuity of the normal component of B and vanishing of the normal component of the net current density.
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