Propagation Of Long Wave Length Disturbances In A Plasma [Dissertation]

Thesis/Dissertation · Mon Oct 02 04:00:00 EDT 1961

OSTI ID:4821526

Liboff, Richard L. ^[1]

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1. New York Univ. (NYU), NY (United States)

The long wavelength modes of excitation of a two component plasma in a steady magnetic field were examined. Two linearized Boltzmann equations are given with collision terms which are coupled through the difference in temperatures and difference in velocities of the two gases. A formal means of classification of phenomena is described in terms of the nature of the roots about k = 0. Two types of behavior were uncovered: MHD, magnetohydrodynamics, which includes finite phase speed phenomena near k = 0; and PEM, plasma electromagnetics, which includes infinite phase speed phenomena near k = 0. The dissipative effects of collisions were included. In the limit of vanishing collision frequency, roots previously obtained were recaptured. The relevance of the pertinent domains are discussed and the complex interplay between the "fast" and "Alfven" modes of MHD and the plasma-magnetic modes of PEM are demonstrated. Equations macroscopic in appearance were derived which include the effects of the initial configuration. In the limit of large collision frequency these equations reduced to standard forms. The dispersion of the N^th order Larmor resonance is given which includes the effect of the mass ratio. A discussion of the transfer equations of a plasma is included.

• Research Organization: New York Univ. (NYU), NY (United States). Inst. of Mathematical Sciences
• Sponsoring Organization: US Atomic Energy Commission (AEC)
• NSA Number: NSA-16-006047
• OSTI ID: 4821526
• Report Number(s): NYO--9762; MF--22
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BOLTZMANN EQUATION
CONFIGURATION
DIFFERENTIAL EQUATIONS
DISPERSIONS
DISTURBANCES
ELECTROMAGNETISM
ELECTRONS
EXCITATION
FREQUENCY
GASES
INTERACTIONS
IONS
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MASS
MOTION
OSCILLATIONS
PLASMA
PLASMA WAVES
RESONANCE
TEMPERATURE
TRANSPORT THEORY
VELOCITY