Dynamical analysis of a helium glow discharge. I A model

Bultel, Arnaud; Letellier, Christophe; Bourdon, Anne

doi:10.1016/j.physleta.2004.01.067

Cited by 2 publications

(2 citation statements)

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“…Gas discharges on the transition from Townsend to glow regime exhibit a wealth of spatio-temporal structures. Besides striations, i.e., longitudinal waves in a long discharge column [1,2,3,4,5], short discharges with wide lateral aspect ratio can also exhibit rich spatio-temporal structures in the transversal direction as reported by a number of authors [6,7,8,9]. This is even the case when the externally applied voltage is stationary and the gas is pure, as long as the system is sandwiched between planar electrodes and at least one Ohmic layer.…”

Section: Introductionmentioning

confidence: 87%

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Oscillations in dc driven barrier discharges: Numerical solutions, stability analysis, and phase diagram

2005

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A short gas-discharge layer sandwiched with a semiconductor layer between planar electrodes shows a variety of spatiotemporal patterns. We focus on the spontaneous temporal oscillations that occur while a dc voltage is applied and while the system stays spatially homogeneous; the results for these oscillations apply equally to a planar discharge in series with any resistor with capacitance. We define the minimal model, identify its independent dimensionless parameters, and then present the results of the full time-dependent numerical solutions of the model as well as of a linear stability analysis of the stationary state. Full numerical solutions and the results of the stability analysis agree very well. The stability analysis is then used for calculating bifurcation diagrams. We find semiquantitative agreement with experiment for the diagram of bifurcations from stationary to oscillating solutions as well as for amplitude and frequency of the developing limit cycle oscillations.

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Section: Introductionmentioning

confidence: 87%

“…Substantial densities of charged particles change the electric field according to (3), and the electric field determines drift and ionization rates of the particles according to Eqs. ( 1), ( 2), ( 4) and (5). Therefore the process is nonlinear as soon as space charges become relevant.…”

Section: A Gas Discharge Layermentioning

confidence: 99%