LONGITUDINAL AND TRANSVERSAL PLASMA WAVE INSTABILITIES IN TWO COUNTERSTREAMING PLASMAS WITHOUT EXTERNAL FIELDS

Conference · Thu Mar 14 23:00:00 EST 1963

OSTI ID:4875568

Buenemann, D

Some aspects of the theory of longitudinal and transversal waves in a collisionless nonrelativistic plasma are treated. A dispersion relation for multicomponent plasmas is derived from the linearized Boltzmann-Vlasov equation using the full set of Maxwell's equations without an external field. The velocity distributions of the plasma streams are assumed to be Maxwellian. For the particular case of two counterstreaming plasmas it is shown that there exists transversal instabilities for all counterstreaming velocities whereas the well known two stream instabilities only exist for velocities greater than a critical velocity. Exact solutions for the onset of the instabilities can be given. This kind of instability may occur for any nonisotropic velocity distribution in a collisionless plasma. (auth)

• Research Organization: Case Inst. of Tech., Cleveland, OH (United States)
• Sponsoring Organization: NASA (United States)
• NSA Number: NSA-17-033200
• OSTI ID: 4875568
• Report Number(s): CONF-38-7; AED-Conf--62-251-48
• Country of Publication: United States
• Language: English

Related Subjects

ANISOTROPY
BOLTZMANN EQUATION
CURRENTS
DIFFERENTIAL EQUATIONS
DISPERSIONS
DISTRIBUTION
ELECTRIC FIELDS
ELECTRODYNAMICS
ELECTROMAGNETIC WAVES
ELECTROMAGNETISM
EQUATIONS
INTERACTIONS
MAGNETIC FIELDS
MAXWELL DISTRIBUTION
MAXWELL EQUATIONS
PHYSICS
PLASMA
PLASMA WAVES
STABILITY
VELOCITY