The hexagonal superlattice pattern is obtained in a dielectric barrier discharge at atmosphere pressure by using a
discharge device with two water electrodes. It is found that the formation of the hexagon superlattice pattern depends on
the mixture gas of air and argon. The bifurcation scenarios of the discharge pattern as the applied voltage increasing at different
air-concentration are obtained. The results show that the hexagon superlattice pattern bifurcates from the dot-line pattern
as the applied voltage increasing. A phase diagram of the pattern types as a function of gas component and applied
voltage is presented. It reveals that the applied voltage for pattern formation increases with the air-concentration
increasing.
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