Transverse plasma oscillations

Journal Article · Wed Aug 01 04:00:00 EDT 1979 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.862768· OSTI ID:6245459

Arthur, M D; Greenberg, W; Zweifel, P F

An operator theoretic approach is used to solve the linearized Vlasov--Maxwell equations for transverse plasma oscillations. In particular, the special cases of simple and second-order real zeros of the plasma dispersion function are treated and formulae for the amplitude of the plasma waves are presented. An existence and uniqueness theorem for the solution to the Vlasov--Maxwell transverse mode plasma equation is proved in an appendix. In a second appendix, a general characterization for the zeros of the plasma distribution function is presented for the case of any double humped equilibrium distribution.

• Research Organization: Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061
• OSTI ID: 6245459
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 22:8; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107 -- Fusion Energy-- Plasma Research-- Instabilities
700108* -- Fusion Energy-- Plasma Research-- Wave Phenomena
BOLTZMANN-VLASOV EQUATION
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
DISTRIBUTION FUNCTIONS
EIGENFUNCTIONS
EQUATIONS
FOURIER TRANSFORMATION
FUNCTIONS
INSTABILITY
INTEGRAL TRANSFORMATIONS
LAPLACE TRANSFORMATION
MATHEMATICAL OPERATORS
MAXWELL EQUATIONS
PLASMA INSTABILITY
PLASMA WAVES
TRANSFORMATIONS