Influence of Self-Induced Magnetic Field on the Stability of an Electron-Hole Plasma in Parallel Electric and Magnetic Fields
The Kadomtsev-Nedospasov theory of helical instability of a gaseous plasma has been applied to semiconductors by several authors. We have extended this theory to include the force arising from a self-induced magnetic field. Such a force pulls the plasma to the center. Helical instability is due to the flux of charged particles to or from the surface, and thus depends on the surface conditions. We have treated the effect of the self-induced field as a small perturbation on this surface effect. It is predicted that the stability increases or decreases if the flux due to the self-induced field adds or substracts from the flux due to boundary conditions.