Transition from Townsend to glow discharge: subcritical, mixed or supercritical

Details Transition from Townsend to glow discharge: subcritical, mixed or supercritical Transition from Townsend to glow discharge: subcritical, mixed or supercritical

2002-05-08

arxiv.org/abs/cond-mat/0205173v2

Phys. Rev. E 66, 066410 (2002)

Physics

Condensed Matter

Materials Science

12 pages, 10 figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.66.066410

The full parameter space of the transition from Townsend to glow discharge is investigated numerically in one space dimension in the classical model: with electrons and positive ions drifting in the local electric field, impact ionization by electrons ($\alpha$ process), secondary electron emission from the cathode ($\gamma$ process) and space charge effects. We also perform a systematic analytical small current expansion about the Townsend limit up to third order in the total current that fits our numerical data very well. Depending on $\gamma$ and system size pd, the transition from Townsend to glow discharge can show the textbook subcritical behavior, but for smaller values of pd, we also find supercritical or some intermediate ``mixed'' behavior. The analysis in particular lays the basis for understanding the complex spatio-temporal patterns in planar barrier discharge systems.

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