Kinetic theory for electrostatic waves due to transverse velocity shears

Journal Article · Fri Apr 01 04:00:00 EST 1988 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.866818· OSTI ID:5289638

Ganguli, G; Lee, Y C; Palmadesso, P J

A kinetic theory in the form of an integral equation is provided to study the electrostatic oscillations in a collisionless plasma immersed in a uniform magnetic field and a nonuniform transverse electric field. In the low temperature limit (k/sub y/rho/sub i/ <<1, where k/sub y/ is the wave vector in the y direction and rho/sub i/ is the ion gyroradius) the dispersion differential equation is recovered for the transverse Kelvin--Helmholtz modes for arbitrary values of k/sub parallel/, where k/sub parallel/ is the component of the wave vector in the direction of the external magnetic field assumed in the z direction. For higher temperatures (k/sub y/rho/sub i/>1) the ion-cyclotron-like modes described earlier in the literature by Ganguli, Lee, and Palmadesso (Phys. Fluids 28, 761 (1985)) are recovered. In this article the integral equation is reduced to a second-order differential equation and a study is made of the kinetic Kelvin--Helmholtz and the ion-cyclotron-like modes that constitute the two branches of oscillation in a magnetized plasma including a transverse inhomogeneous dc electric field.

• Research Organization: Science Applications International Corporation, 1710 Goodridge Drive, McLean, Virginia 22012
• OSTI ID: 5289638
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 31:4; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107* -- Fusion Energy-- Plasma Research-- Instabilities
BREMSSTRAHLUNG
CHARGED PARTICLES
COLLISIONLESS PLASMA
CYCLOTRON RADIATION
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
ELECTRIC FIELDS
ELECTROMAGNETIC RADIATION
EQUATIONS
EQUATIONS OF MOTION
HELMHOLTZ INSTABILITY
INSTABILITY
INTEGRAL EQUATIONS
IONS
KINETIC EQUATIONS
MAGNETIC FIELDS
MAGNETIZATION
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
PLASMA WAVES
RADIATIONS
SHEAR
TEMPERATURE DEPENDENCE