Saturation Current of a Stationary Cone-Shaped Singularity on the Surface of a Liquid with Ionic Conduction in an Electric Field

Resumo

Conical singularities (spikes) appearing on the surface of a liquid with ionic conduction in the electric field have been studied with allowance for the influence of bulk and surface charges. It is established that the problem of field distribution admits an exact analytical solution that corresponds to the regime of charge-limited current. Dependences of the saturation current passing via a stationary conical surface singularity on the cone angle, dielectric permittivity of liquid, and mobility of positive and negative ions are determined.