Vlasov theory of electrostatic modes in a finite length electron column

Journal Article · Sun Jan 01 00:00:00 EST 1984 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.864514· OSTI ID:5508000

Prasad, S A; O'Neil, T M

A Vlasov theory of low-frequency electrostatic modes in a finite length electron column is presented. The column is assumed to have cylindrical symmetry and flat end surfaces at which the electrons undergo specular reflection. The eigenfrequencies and the eigenfunctions are obtained as a series expansion in the small parameter R/L (where R is a characteristic radius and L the half-length). In zeroth order, the modes are simply the modes for an infinitely long column with axial wavenumbers quantized as k = n..pi../L. In first order, these modes are weakly coupled. This means that a k = 0 diocotron mode can share in the Landau damping of higher k modes. For certain values of the plasma parameters, two zero-order modes are degenerate and the coupling is strong.

• Research Organization: Department of Physics, University of California, San Diego, La Jolla, California 92093
• OSTI ID: 5508000
• Journal Information: Phys. Fluids; (United States), Vol. 27:1
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
PLASMA
PLASMA WAVES
BOLTZMANN-VLASOV EQUATION
COUPLING
EIGENFUNCTIONS
EIGENVALUES
ELECTRONS
HELMHOLTZ INSTABILITY
LANDAU DAMPING
LENGTH
SERIES EXPANSION
SYMMETRY
DAMPING
DIFFERENTIAL EQUATIONS
DIMENSIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FUNCTIONS
INSTABILITY
LEPTONS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
700108* - Fusion Energy- Plasma Research- Wave Phenomena