Dielectric-barrier discharges in two-dimensional lattice potentials
Josiah Sinclair, Matthew Walhout

TL;DR
This study introduces a two-dimensional lattice potential into a dielectric-barrier discharge system using a pin-grid electrode, revealing how plasma filament patterns are influenced by the lattice and gap width, with implications for modeling plasma as interacting particles.
Contribution
The paper demonstrates the use of a 2D lattice potential in DBDs and explores its effects on filament pattern formation, linking plasma behavior to other lattice-based physical systems.
Findings
Filament localization varies with discharge gap width.
Pattern formation depends on overfilling or underfilling the lattice.
Lattice patterns resemble those in other 2D physical systems.
Abstract
We use a pin-grid electrode to introduce a corrugated electrical potential into a planar dielectric-barrier discharge (DBD) system, so that the amplitude of the applied electric field has the profile of a two-dimensional square lattice. The lattice potential provides a template for the spatial distribution of plasma filaments in the system and has pronounced effects on the patterns that can form. The positions at which filaments become localized within the lattice unit cell vary with the width of the discharge gap. The patterns that appear when filaments either overfill or under-fill the lattice are reminiscent of those observed in other physical systems involving 2d lattices. We suggest that the connection between lattice-driven DBDs and other areas of physics may benefit from the further development of models that treat plasma filaments as interacting particles.
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