Some Investigations of Non-Linear Plasma Behaviour on One-Dimensional Plasma Models

Earlier calculations on the two-stream instability using the sheet model are extended. Vortexes in phase space similar to those found by Roberts and Berk are found. A new finite-size particle model is developed to reduce collisional effects. This model suppresses the short-wavelength field fluctuations while leaving the long-wavelength collective modes unaffected. The turbulence generated by a small bump in the tail of the distribution function is investigated on this model. It is found here as in the sheet model calculations that a hot Maxwellian tail is formed which co-exists with the main plasma for a very long time. (author)