Improved Understanding of the Nonlinear Properties of Ionization Instabilities in Plasmas

Bruhn, B.; Koch, B. P.; Wilke, Charles R.

doi:10.1002/ctpp.200510038

Cited by 8 publications

(3 citation statements)

References 41 publications

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“…The positive column of dc discharges is a textbook example of nonlinear dynamics where numerous wave states (periodic, intermittent and turbulent) can be found. However, understanding basic physical processes in the PC is still far from satisfactory, and we cannot agree with the conclusion of [39] that 'a hydrodynamic model describes the nonlinear spatio-temporal dynamics of the plasma in a neon glow discharge in quantitatively sufficient and qualitatively excellent agreement with the experiment.' One of the goals of the present paper is to identify conditions where hydrodynamic models can be applied and where solutions of the nonlocal Boltzmann equation for electrons are necessary.…”

Section: Introductioncontrasting

confidence: 57%

“…Interesting dispersion characteristics and convenient spatial and temporal scales for experimental studies make striations an ideal object for non-linear physics [37]. Numerous publications devoted to experimental and theoretical studies of nonlinear ionization waves have been reviewed in [38,39]. The positive column of dc discharges is a textbook example of nonlinear dynamics where numerous wave states (periodic, intermittent and turbulent) can be found.…”

Section: Introductionmentioning

confidence: 99%

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Striations in rare gas plasmas

Kolobov¹

2006

J. Phys. D: Appl. Phys.

152

136

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This paper describes the recent progress in understanding the nature of striations in rare gas plasmas. Striations are ionization waves with unique properties determined by transport phenomena, ionization processes and electron kinetics in current-carrying plasmas. Recent progress in understanding the physics of striations is mainly associated with the advances of non-local electron kinetics in spatially inhomogeneous plasmas and the development of computational models of gas discharges. It has been proven that kinetic analysis of electrons is necessary for nearly all types of striations. Most strikingly, the non-hydrodynamic behaviour of electrons reveals itself in kinetic resonances of the electron distribution function in spatially periodic electric fields, resulting in a variety of striations at low pressures. Moving striations in classical dc discharges have been obtained in computer experiments. Renewed interest in striations has been recently generated by the observation of striations inside pixels of plasma display panels and other micro-plasma devices. High sensitivity of striations to the state of electron gas and ionization kinetics makes them an ideal tool for testing discharge models and advanced plasma diagnostics. Further studies of striations in glow discharges could shed light into the physics of different plasma sources used in modern technologies.There are more things between cathode and anode than are dreamt in your philosophy.H Raether

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Section: Introductioncontrasting

confidence: 57%

Section: Introductionmentioning

confidence: 99%

Striations in rare gas plasmas

Kolobov¹

2006

J. Phys. D: Appl. Phys.

152

136

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“…[8]) and dynamic properties [9]. As usual for non-linear phenomena, the different views recover different aspects of the dynamics.…”

Section: Introductionmentioning

confidence: 99%

Hysteresis of ionization waves

et al. 2008

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A quasi-logistic, non-linear model for ionization wave modes is introduced. Modes are due to finite size of the discharge and current feed-back. The model consists of competing coupled modes and it incorporates spatial wave amplitude saturation. The hysteresis of wave mode transitions under current variation is reproduced. Side-bands are predicted by the model and found in experimental data. The ad-hoc model is equivalent to a general -so-called universal -approach from bifurcation theory.

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Ionization fronts and their velocities in a coupled Ginzburg-Landau model

Bruhn

2006

Physics of Plasmas

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The nonlinear dynamics within the transition region between p and s waves is studied for a neon glow discharge. Starting from a coupled set of complex Ginzburg-Landau equations, the coherent ionization waves are studied where we focus on a special subclass of uniformly translating front solutions. A stability analysis is performed to give necessary conditions for the existence of wave fronts and limits of their velocities. It is shown that the wave fronts that mark the transition between s and p waves, respectively, propagate with different velocities. The front velocities strongly depend on the chosen plasma parameters. The analytical results are supplemented by numerical simulations for selected values of the plasma parameters that have relevance to experimental results.

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Improved Understanding of the Nonlinear Properties of Ionization Instabilities in Plasmas

Cited by 8 publications

References 41 publications

Striations in rare gas plasmas

Striations in rare gas plasmas

Hysteresis of ionization waves

Ionization fronts and their velocities in a coupled Ginzburg-Landau model

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