Charge injection between concentric cylindrical electrodes

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Abstract
The transient electric field and space-charge distributions and terminal voltage-current characteristics are solved for drift-dominated unipolar ion conduction between concentric cylindrical electrodes. Special attention is directed to comparing solutions with charge injection from the inner and outer electrodes. As in past work with parallel-plate geometries, the method of characteristics is used to convert the governing partial differential equations into a set of first-order ordinary differential equations which are easily numerically integrated by the Runge-Kutta method. For current-source excitations the equations can be integrated exactly. Special cases examined include the charging transients to a step voltage or current excitation from rest under space-charge-limited conditions and the discharging transients for systems in the dc steady state which are instantaneously open or short circuited.