A ceramic electrode for a gliding electric arc system. The ceramic electrode includes a ceramic fin defining a spine, a heel, and a tip. A discharge edge of the ceramic fin defines a diverging profile approximately from the heel of the ceramic fin to the tip of the ceramic fin. A mounting surface coupled to the ceramic fin facilitates mounting the ceramic fin within the gliding electric arc system. One or more ceramic electrodes may be used in the gliding electric arc system or other systems which at least partially oxidize a combustible material.