Accession Number : AD0802564

Title :   TIME DEPENDENT NONLINEAR SOLUTION OF THE LANDAU-VLASOV EQUATIONS FOR AN ELECTRON-ION DIODE.

Descriptive Note : Final rept., Part 1 on Low voltage arc studies,

Corporate Author : MICHIGAN UNIV ANN ARBOR ELECTRON PHYSICS LAB

Personal Author(s) : Lomax, R. J.

Report Date : AUG 1966

Pagination or Media Count : 52

Abstract : A set of moment equations is obtained from the Landau-Vlasov equation. In order to simplify application of the boundary conditions in a diode-like device, separate moments are defined for negative and positive velocities. The set of equations is truncated at a finite order and closed by assuming that expansion of the velocity distribution function can be made in terms of a finite number of orthogonal functions. Methods are discussed of integrating the equations numerically after transforming them to canonical form. Some examples are given and possible extensions to more general situations are mentioned. (Author)

Descriptors :   *PLASMA SHEATHS), *IONS), (*CHARGED PARTICLES, (*ELECTRIC ARCS, ELECTRON DENSITY), (*MATHEMATICAL MODELS, DAMPING, SECONDARY EMISSION, MAGNETIC FIELDS, VELOCITY, ELECTRIC FIELDS, MONTE CARLO METHOD, DIODES, NUMERICAL ANALYSIS, INTEGRAL TRANSFORMS, DIFFERENTIAL EQUATIONS, MOMENTS, ELECTRON BEAMS.

Subject Categories : Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE