Finite-Larmor-radius dispersion functional for the Vlasov-fluid model

Journal Article · Sun Jun 01 04:00:00 EDT 1986 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.865615· OSTI ID:5761726

Lewis, H R

A dispersion functional for the Vlasov-fluid model is derived as a finite-Larmor-radius (FLR) expansion in which the eigenfrequency is not assumed to be small compared to the ion gyrofrequency and secularities in the gyrophase angle never occur. The expansion is carried out in the local E/sub 0/ x B/sub 0/ drift frame. Use of the dispersion functional for calculating the small-signal response of a plasma is compared to using an approximate dispersion differential equation. The linearized Vlasov-fluid model is examined with particular reference to the questions of treating the initial-value problem correctly and specifying a generally valid gauge condition. Calculational details for applying the dispersion functional to a general linear screw pinch are presented.

• Research Organization: Los Alamos National Laboratory, MS-F642, Los Alamos, New Mexico 87545
• OSTI ID: 5761726
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 29:6; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700108* -- Fusion Energy-- Plasma Research-- Wave Phenomena
BOLTZMANN-VLASOV EQUATION
COLLISIONLESS PLASMA
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
EIGENVALUES
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FLUID MECHANICS
FUNCTIONALS
FUNCTIONS
HYDRODYNAMICS
LARMOR RADIUS
LEPTONS
MAGNETOHYDRODYNAMICS
MASSLESS PARTICLES
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
RESPONSE FUNCTIONS
SERIES EXPANSION