Formulation of the linearized Vlasov-fluid model for a sharp-boundary screw pinch

Journal Article · Sun Apr 01 04:00:00 EST 1979 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524124· OSTI ID:6455944

Lewis, H R; Turner, L

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.

• Research Organization: Los Alamos Scientific Laboratory, University of California, Los Alamos, New Mexico 87545
• OSTI ID: 6455944
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 20:4; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700101* -- Fusion Energy-- Plasma Research-- Confinement
Heating
& Production
BOLTZMANN-VLASOV EQUATION
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
DISTURBANCES
ELECTRIC FIELDS
EQUATIONS
LINEAR PINCH DEVICES
LINEAR SCREW PINCH DEVICES
OPEN PLASMA DEVICES
PINCH DEVICES
THERMONUCLEAR DEVICES