OSCILLATIONS OF A PLASMA IN A STATIC MAGNETIC FIELD

Journal Article · Mon May 01 04:00:00 EDT 1961 · Proc. Phys. Soc. (London)

DOI:https://doi.org/10.1088/0370-1328/77/5/304· OSTI ID:4073727

Anderson, N

The propsgation of waves through an infinite homogeneous plasma permeated by a static magnetic field is considered. The Boltzmann equation is linearized by the usual perturbation method and the distribution function obtained in the form of an integral. From the expression for the distribution function the current density is calculated, which on insertion into Maxwell's equations gives the dielectric tensor relating the components of the displacement to those of the electric field. Explicit expressions are given for the components of the dielectric tensor in the particular case in which the mean Larmor radius of the particles is considerably less than the wavelength of the oscillation and the wave velocity considerably greater than the mean thermal velocity of the particles. Under these conditions, the change in the wave velocity due to thermal effects is calculated by means of an eigenvalue method which uses the wave velocity in the absence of thermal effects and the calculated dielectric tensor. (auth)

• Research Organization: Trinity Coll., Cambridge, Eng.
• NSA Number: NSA-15-021669
• OSTI ID: 4073727
• Journal Information: Proc. Phys. Soc. (London), Journal Name: Proc. Phys. Soc. (London) Vol. Vol: 77
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BOLTZMANN EQUATION
CHARGED PARTICLES
DIELECTRICS
DIFFERENTIAL EQUATIONS
DISTRIBUTION
EIGENVALUES
HOMOGENEOUS REACTORS
INTEGRALS
LARMOR RADIUS
MAGNETIC FIELDS
MATHEMATICS
MOTION
OSCILLATIONS
PERTURBATION THEORY
PHYSICS
PLASMA
PLASMA WAVES
TENSORS
VECTORS
VELOCITY