Provided herein are the concept that "singularity-based configuration" electrodes design and method can produce in an ionic substance local high electric fields with low potential differences between electrodes. The singularity-based configuration described here includes: an anode electrode a cathode electrode and an insulator disposed between the anode electrode and the cathode electrode. The singularity-based electrode design concept refers to electrodes in which the anode and cathode are adjacent to each other, placed essentially co-planar and are separated by an insulator. The essentially co-planar anode/insulator/cathode configuration bound one surface of the volume of interest and produce desired electric fields locally, i.e., in the vicinity of the interface between the anode and cathode. In an ideal configuration, the interface dimension between the anode and the cathode tends to zero and becomes a point of singularity.
