Finite Larmor radius model for axisymmetric compact toroids

Journal Article · Sun Nov 01 04:00:00 EST 1981 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.863296· OSTI ID:6102013

Seyler, C Jr; Barnes, D C

Stability equations for axisymmetric compact toroidal configurations without a toroidal magnetic field are derived in a variational form. The application of a particular ordering procedure gives equations which include the coupling of geometry to finite Larmor radius as well as including resonant ion effects. The equations are readily obtained by applying the ordering assumptions to a variational dispersion functional form of the Vlasov-fluid equations. Application of the dispersion functional to find necessary and sufficient conditions for stability are made for the case of small, but finite Larmor radius and for the case of zero Larmor radius. The mathematical result that the zero Larmor radius case is more optimistic is physically understood in the context of an interesting stabilizing mechanism involving parallel kinetic effects.

• Research Organization: Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545
• OSTI ID: 6102013
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 24:11; ISSN PFLDA
• 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
CLOSED PLASMA DEVICES
DIFFERENTIAL EQUATIONS
EQUATIONS
GEOMETRY
LARMOR RADIUS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLES
PINCH DEVICES
PLASMA
PLASMA SIMULATION
RESONANCE
SIMULATION
STABILITY
THERMONUCLEAR DEVICES
TOROIDAL PINCH DEVICES
VARIATIONAL METHODS