Long-Wavelength Phenomena in a Plasma

Journal Article · Wed Aug 01 04:00:00 EDT 1962 · Physics of Fluids (New York)

DOI:https://doi.org/10.1063/1.1706712· OSTI ID:4775647

Liboff, Richard L.

The long-wavelength modes of excitation of a twocomponent plasma in a steady magnetic field are examined. Two linearized Boltzmann equations are given with collision terms that 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 are uncovered: magnetohydrodynamic, which includes finite phase-speed phenomena near k = 0; and plasma-electromagnetic, which includes infinite- phasespeed phenomena near k = 0. The dissipative effects of collisions are included. In the limit of vanishing collision frequency, roots previously obtained are recaptured. The relevance of the pertinent domains are discussed and the complex interplay between the fast'' and Alfven'' modes of magnetohydrodynamics and the plasma-magnetic modes of the plasma electromagnetic domain is demonstrated. Equations macroscopic in appearance are derived that include the effects of the initial configuration. In the limit of large collision frequency these equations reduce to standard forms, The dispersion of the Nth-order Larmor resonance, which includes the effect of the mass ratio, is given.

• Research Organization: New York Univ., New York
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-000972
• OSTI ID: 4775647
• Journal Information: Physics of Fluids (New York), Journal Name: Physics of Fluids (New York) Journal Issue: 8 Vol. 5; ISSN 0031-9171; ISSN PFLDAS
• Publisher: American Institute of Physics
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ALFVEN WAVES
BOLTZMANN EQUATION
CHARGED PARTICLES
COLLISIONS
CONFIGURATION
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
DISPERSION THEORY
ELECTROMAGNETIC WAVES
EQUATIONS
EXCITATION
FREQUENCY
GASES
HYDROMAGNETIC WAVES
INTERACTIONS
LARMOR PRECESSION
LOSSES
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MASS
PLASMA
PLASMA WAVES
QUANTUM MECHANICS
ROTATION
SCATTERING
SCATTERING AMPLITUDE
TEMPERATURE
TRANSPORT THEORY
VELOCITY
VERTEBRATES