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The effect of field dependent mobility on instabilities associated with space charge enhanced conduction

Previous calculations1, 2 investigated the instability associated with space charge enhanced emission from the cathode into a dielectric solid, the space charge in the solid arising primarily from collision ionization. Both plane and spherical geometry were considered, with spherical geometry probably giving a better representation of avalanche buildup. Current work extends the calculations by investigating the effects of variations in hole mobility, geometric field enhancement, and layered structure between anode and cathode. The model is not an avalanche model, but a steady state collision ionization model that results in a current controlled instability.