Short planar glow discharges coupled to a resistive layer exhibit a wealth of spontaneous spatiotemporal patterns. Due to similarities with other pattern forming systems that are described by reaction-diffusion models, several authors have tried to derive such models from discharge physics. We investigate the temporal oscillations of the discharge system and find a cascade of period doubling events. This shows that the inner structure of the discharge is more complex than can be described by a two-component reaction-diffusion-model with negative differential conductivity. We also derive an alternative reduced model.

American Physical Society
doi.org/10.1103/PhysRevE.70.056220
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
Multiscale Dynamics

Šijačić, D., Ebert, U., & Rafatov, I. (2004). Period doubling in glow discharges: Local versus global differential conductivity. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 70(5). doi:10.1103/PhysRevE.70.056220