TIME DEPENDENT NONLINEAR SOLUTION OF THE LANDAU-VLASOV EQUATIONS FOR AN ELECTRON-ION DIODE.
Final rept., Part 1 on Low voltage arc studies,
MICHIGAN UNIV ANN ARBOR ELECTRON PHYSICS LAB
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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