Microinstabilities in complex magnetic field geometries and high-. beta. sheared sheath structure. Progress report, June 1, 1975--February 27, 1976

Technical Report · Sun Feb 01 04:00:00 EST 1976

DOI:https://doi.org/10.2172/7364934· OSTI ID:7364934

Bakshi, P.; Kalman, G.

A new approach for the solution of the Vlasov equation for complex magnetic field geometries has been developed using operator techniques. The general approach is illustrated by determining the perturbed distribution function and density operator for the problem of shear stabilization of drift waves for transverse and arbitrary directions of propagation. The ensuing corrections to stability criteria of current theories are obtained for certain domains of physical parameters. Preliminary work on the integral equation approach to the dispersion relation has been initiated. As a prelude to the study of particle orbits in complex mirror geometries, the adiabatic and non-adiabatic behavior of a harmonic oscillator has been studied using operator methods. High-..beta.., high shear plasma sheath configurations have been studied with the full ion dynamics taken into account and electrons treated in the zero and first order approximation, in the ratio of the electron Larmor radius to the scale length. The resulting sheath structure equation in the lowest order approximation has been solved for certain entering ion distributions, and prepared for computer analysis for others. In this approximation the electron current parallel to magnetic field lines has to be assumed suppressed or predetermined. Equations in the next order approximation include the finite Larmor radius stress tensor. This equation is under study.

• Research Organization: Boston Coll., Chestnut Hill, Mass. (USA)
• OSTI ID: 7364934
• Report Number(s): COO-2714-1
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107* -- Fusion Energy-- Plasma Research-- Instabilities
BOLTZMANN-VLASOV EQUATION
CHARGED PARTICLES
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
EQUATIONS
HIGH-BETA PLASMA
INSTABILITY
IONS
LARMOR RADIUS
MAGNETIC FIELDS
PLASMA
PLASMA INSTABILITY
PLASMA MICROINSTABILITIES
PLASMA SHEATH
SHEAR