Continuous Transition from a Backward to a Forward Ionization Wave

Pekárek, L.; Krejčí, V.; Štirand, O.; Láska, L.

doi:10.1103/physrevlett.15.721

Cited by 14 publications

(2 citation statements)

References 3 publications

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“…In the literature, there are also known hydrodynamic models which carefully take into account the elementary processes via rate coefficients [13][14][15][16][17]. Analysing the eigenvalue problem, we find quite a complicated structure of the eigenfunctions, and it is obvious that a nonlinear theory of the wave of stratification is not simple [18,19]. However, by centre manifold theory [20,21] the complicated mathematical description (via the kinetics of the hydrodynamic equations) can be 'boiled down' to a simple (universal) Ginzburg-Landau equation for the amplitude of the dominating mode φ,…”

Section: Striated Columns: the Universal Behaviour Of Single Modesmentioning

confidence: 99%

On the route to a better understanding of the complex nonlinear dynamics of a plasma

Spatschek¹

1999

Plasma Phys. Control. Fusion

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In many cases, the analytical understanding of the complex nonlinear behaviour of plasmas is simplified by the fact that the plasma dynamics is low-dimensional. Then, quite universal descriptions, which can predict quite sophisticated phenomena, are available. This aspect, and the corresponding appearance of spatially coherent structures, are first discussed for the single-mode dynamics in a weakly unstable (or marginal) regime. The procedure is then generalized to a few modes. The following examples are used to point out the benefits from a low-dimensional description: ionization wave instability, Pierce instability, interchange instability and electron drift instability. Special emphasis is put on the following aspects. Low-dimensional dynamics is quite rich and allows one to apply modern control mechanisms. Coherent structures are present in the dynamics and may contribute to the understanding of transport scalings. The overview is concluded by pointing out some similarities to high-dimensional situations. In the latter, structures (singularities) also have a signature in the dynamical behaviour. They allow us to understand more deeply certain scaling behaviour.

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Section: Striated Columns: the Universal Behaviour Of Single Modesmentioning

confidence: 99%

On the route to a better understanding of the complex nonlinear dynamics of a plasma

Spatschek¹

1999

Plasma Phys. Control. Fusion

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“…Wave length extrapolated to zero frequency on a dispersion curve is compared with that of standing striations [2]. PEKAREK et al [3] observed a transient wave which represents a continuous transition from a forward wave to a backward wave, in a DC discharge plasma of neon-hydrogen mixture. They indicated taht the zero frequency wave can exist in the positive column.…”

Section: Introductionmentioning

confidence: 99%

Stationary Striations due to Interaction of Two Ionization Waves in Xenon Glow Discharge

Minamikawa

Nishina

Kitamura

et al. 1990

Contrib. Plasma Phys.

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Experimental observations on stationary striations in the positive column of xenon discharge are reported. Stationary striations are observed when two ionization waves exist simultaneously in the positive column at low pressure and high current region. These stationary striations arc caused by nonlinear interference of two backward ionization waves of which frequencies ore either equal or are in the ratio 1 :2. The spatial intervals for the striated pattern are equal t o the reciprocal of the difference between the wave-numbers of two ionization waves.

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