Abstract
A new dynamic method to analyse resonance effects in glow discharges is proposed as a supplement to fluid and kinetic approaches for the investigation of discharge stratification. The method is applicable to striations, which are caused by the nonlocal electron behaviour at lower pressure and current. It is based on the analysis of the electron phase trajectories in spatially periodic fields. Being quite intuitive and easier than the solution of the Boltzmann equation, this method gives a quantitative description of the main effects arising from the kinetic analysis, for example, the appearance of attractors of the phase trajectories. The dynamic theory eliminates the main difficulty of the kinetic theory associated with the large relaxation length of the electron energy distribution function in periodic fields and describes the integer and rational resonances that correspond to S-, P- and R-striations. As a result, the stratification of the discharge can be interpreted as the excitation of one of the spatial resonator modes of the positive column.
Published Version
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