An arcless, atmospheric-pressure plasma generating apparatus capable of producing a large-area, temperature-controlled, stable discharge at power densities between about 0.1 W / cm3 and about 200 W / cm3, while having an operating gas temperature of less than 50° C., for processing materials outside of the discharge, is described. The apparatus produces active chemical species, including gaseous metastables and radicals which may be used for polymerization (either free radical-induced or through dehydrogenation-based polymerization), surface cleaning and modification, etching, adhesion promotion, and sterilization, as examples. The invention may include either a cooled rf-driven electrode or a cooled ground electrode, or two cooled electrodes, wherein active components of the plasma may be directed out of the plasma and onto an external workpiece without simultaneously exposing a material to the electrical influence or ionic components of the plasma.