Dielectric properties of an inhomogeneous plasma

Journal Article · Sat Dec 01 04:00:00 EST 1962 · Nuclear Fusion

DOI:https://doi.org/10.1088/0029-5515/2/3-4/006· OSTI ID:4665742

Mikhailovsky, A. B.

An expression is derived for the dielectric tensor of an inhomogeneous plasma contained by a constant magnetic field. In calculating the tensor, attention is directed mainly to a calculation of the effects associated with drift movements of the plasma particles, effects that are important for waves with a very small phase velocity. It is suggested that a calculation of the tensor, once and for all, would be highly useful for calculating the oscillations and the stability of an inhomogeneous plasma as one would then only have to solve Maxwell's equations; a solution of the charge-movement equations for each separate case would be avoided. The dielectric tensor is calculated for a plasma in plane geometry; in other words, the lines of force of the magnetic field are assumed to be straight and parallel to one another. An imaginary gravitational field is introduced in order to obtain a qualitative evaluation of the curvature of the lines of force. It is assumed that the equilibrium-value gradients and the gravitational field are sufficiently small and perpendicular to the magnetic field. The oscillation frequency is considered to be large compared with particle-collision frequency. Vlasov's kinetic equation is used in deriving the expression for the tensor. The equilibrium state of each type of plasma charge is characterized by an arbitrary function of the centers of Larmor circles.

• Research Organization: Kurchatov Inst. of Atomic Energy, Moscow
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-026694
• OSTI ID: 4665742
• Journal Information: Nuclear Fusion, Journal Name: Nuclear Fusion Journal Issue: 3-4 Vol. 2; ISSN 0029-5515
• Publisher: IOP Science
• Country of Publication: Country unknown/Code not available
• Language: Russian

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ALFVEN WAVES
CHARGED PARTICLES
CONFIGURATION
CONFINEMENT
CYCLOTRON FREQUENCY
CYCLOTRON RADIATION
DIELECTRICS
DIFFERENTIAL EQUATIONS
DISPERSIONS
ELECTRIC CHARGES
ELECTRIC FIELDS
ELECTRODYNAMICS
ELECTROMAGNETISM
ELECTRONS
EQUATIONS
FREQUENCY
GRAVITATION
INTERACTIONS
IONS
MAGNETIC FIELDS
MAXWELL EQUATIONS
MOTION
NUMERICALS
OSCILLATIONS
PLASMA
PLASMA WAVES
PRESSURE
STABILITY
TENSORS
TURBULENCE
VARIATIONS
VECTORS
VELOCITY
VLASOV EQUATION