Effect of barrier capacitance on self-organized structure in dielectric-barrier discharge microplasma

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<jats:title>Abstract</jats:title> <jats:p>We experimentally observed variations in self-organized microgap barrier discharge with changes in barrier capacitance. We also performed a computer simulation using a reaction–diffusion equation. The simulation results showed the same tendency for the lattice spacing and size of filaments as hexagonal pattern structures in discharge experiments. We confirmed that the experimental result of the dependence of voltage on filament number density is consistent with the simulation result. From a theoretical viewpoint, it is possible that the size of filaments of a hexagonal structure caused by Turing instability corresponds to the characteristic wavelength obtained by simple analysis.</jats:p>

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