TIME DEPENDENT NONLINEAR SOLUTION OF THE LANDAU-VLASOV EQUATIONS FOR AN ELECTRON-ION DIODE.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1966
- Accession Number
- AD0802564
Entities
People
- R. J. Lomax
Organizations
- University of Michigan