Methods and apparatus implementing a technique for electrostatically transporting a particle through a medium. In general, one implementation includes a substrate; a first insulation layer formed on the substrate; a plurality of electrodes arranged in a sequence on the insulation layer, where the electrodes are divided into a plurality of groups and the electrodes are arranged by group; a second insulation layer over at least one of the electrodes; and a phase shift circuit connected to the electrodes which supplies a voltage wave-form to each group of electrodes, where each voltage wave-form for each group is phase-shifted relative to the other phase-shifted wave-forms.