Abstract
In this work, we investigate the transition of a hexagonal patterned self-organised barrier discharge into a stochastic distributed pattern during voltage reduction. The techniques of 2D Fourier transformation and, for the first time, the triple correlation function are used. Introducing measures for the angular and radial order it is possible to observe a supercritical bifurcation scenario for the decaying order. A chronological sequence of an angular and a radial breakdown of the pattern has been revealed. Possible limits of reproducibility and dependence on the frequency of the applied voltage are estimated.
Highlights
Introduction gas ITO glass spacer glassITOBarrier discharges (BD) are gas discharge systems whose electrodes confine a discharge gap that hosts at least one dielectric barrier
The hexagonal pattern breakdown in self-organised dielectric barrier discharges has been investigated with the 2D Fourier analysis technique and for the first time with the triple correlation function (TCF)
While decreasing the supply voltage of the discharge system, the lateral pattern changes from a regular hexagonal filament arrangement to an unordered arrangement of filaments
Summary
Barrier discharges (BD) are gas discharge systems whose electrodes confine a discharge gap that hosts at least one dielectric barrier. I.e. systems where the lateral extension is much larger than the discharge gap, have been found to produce self-organised structures. In this case, the discharge breaks up into a number of filaments that may show a collective behaviour yielding higher ordered structures. We investigate the transition process from a hexagonal pattern to a random arrangement of the filaments that occurs during the reduction of the applied voltage amplitude. The process is investigated using 2D Fourier transformation and the triple correlation function For both of these tools, a characteristic feature of the hexagonal pattern is used to define a measure for the hexagonal order.
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