Author:
ROTTMANN M.,SPATSCHEK K. H.
Abstract
The positive column of a gas discharge is investigated in the subcritical
regime
when no self-excited nonlinear ionization wave exists. We derive a model
equation
for the so-called wave of stratification, which is an externally excited
envelope wave.
The main point of this work is that, in contrast to previous papers, we
take into
account the radial structure of the homogeneous column. The mathematical
description
of the wave of stratification in the form of a complex Ginzburg–Landau
equation follows by a systematic reductive perturbation method. The coefficients
in the Ginzburg–Landau equation are first calculated in general and
are then
evaluated explicitly for a low-pressure argon discharge. The results are
compared with
those obtained from a frequently used simpler model that neglects any radial
structure.
Finally, the dynamics of the nonlinear wave of stratification is demonstrated
via numerical simulations.
Publisher
Cambridge University Press (CUP)
Cited by
12 articles.
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