Rotating-filaments-pairs in a hexagonal superlattice state in dielectric barrier discharge

Rotating-filaments-pairs in a hexagonal superlattice state (HSS) are studied in a dielectric barrier discharge system. The evolution and phase diagrams of HSS are given. The wavelength of HSS and the mean diameter of the two rotating filaments all decrease with the increase of applied voltage. The instantaneous orientations of rotating-filaments-pairs are equal probability approximately. There is a larger peak and a smaller one in both the probability density functions of the rotation speed (omega) of rotating filaments and that of the distance (D) between two rotating filaments. According to the fitting curves of ln omega(2) vs. lnD, omega(2) is inversely proportional to D-7. The rotation of filaments is discussed theoretically by the force among surface charges. (C) 2011 American Institute of Physics. [doi:10.1063/1.3662443]