Modelling cathode spots in glow discharges in the cathode boundary layer geometry

Bieniek, M. S.; Almeida, Pedro; Benilov, M. S.

doi:10.1088/0022-3727/49/10/105201

Cited by 13 publications

(15 citation statements)

References 14 publications

(35 reference statements)

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“…One class of examples is the rotating spokes observed in E × B discharges [153], such as Hall thrusters, magnetrons, Penning discharges and magnetic filters [152]. Another example is the spots that form on cathodes [154] and anodes [152]. The latter are related to perhaps the most ubiquitous form of plasma self-organization, the formation of sheaths and double layers.…”

Section: Plasma Theorymentioning

confidence: 99%

The 2017 Plasma Roadmap: Low temperature plasma science and technology

Adamovich

Baalrud

Bogaerts

et al. 2017

J. Phys. D: Appl. Phys.

818

549

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Section: Plasma Theorymentioning

confidence: 99%

The 2017 Plasma Roadmap: Low temperature plasma science and technology

Adamovich

Baalrud

Bogaerts

et al. 2017

J. Phys. D: Appl. Phys.

818

549

View full text Add to dashboard Cite

“…The above-described detailed model is computationally costly and therefore not suitable for serial 3D simulations, required for the purposes of this work. It was shown previously experimentally [35] and computationally [25] that self-organized patterns in the cathode boundary layer discharge and a discharge with parallel-plane electrode configuration are qualitatively similar. An account of detailed chemical kinetics does not produce a qualitative effect as well [42].…”

Section: Numerical Modelling 431 the Modelsmentioning

confidence: 68%

“…The neutralization of the ions and the electrons at the dielectric is neglected, so particles coming from the plasma are reflected back. Note that the effect of the neutralization has been well understood by now (e.g., [25] and references therein); as far as 3D spots are concerned, it results in the migration of spots away from the wall in the direction to the center of the cathode [42]. With this in mind, the assumption of negligible neutralization is sufficient for most purposes of this work, while making computations less costly and easier to analyze.…”

Section: Numerical Modelling 431 the Modelsmentioning

confidence: 93%

“…In the case of dc glow discharges, multiple solutions have been shown to exist even in the most basic models and the solutions computed up to now describe many features of the patterns observed; e.g., [5] and references therein and [25]. In particular, the modelling has shown that self-organization on cathodes of glow microdischarges can occur not only in xenon, but also in other plasma-producing gases; a prediction which has been confirmed by subsequent observations of microdischarges in krypton [26] and argon [27].…”

Section: Mode Transitions On Cathodes Of DC Glow Discharges 41 Statementioning

confidence: 99%

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Bifurcations in the theory of current transfer to cathodes of DC discharges and observations of transitions between different modes

et al. 2018

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General scenarios of transitions between different spot patterns on electrodes of dc gas discharges and their relation to bifurcations of steady-state solutions are analyzed. In the case of cathodes of arc discharges, it is shown that any transition between different modes of current transfer is related to a bifurcation of steady-state solutions. In particular, transitions between diffuse and spot modes on axially symmetric cathodes, frequently observed in the experiment, represent an indication of the presence of pitchfork or fold bifurcations of steady-state solutions. Experimental observations of transitions on cathodes of dc glow microdischarges are analyzed and those potentially related to bifurcations of steady-state solutions are identified. The relevant bifurcations are investigated numerically and the computed patterns are found to conform to those observed in the course of the corresponding transitions in the experiment.

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“…[74]). A drift-diffusion model, as the one used in [45,75], can be casted as a TADR system by the equations listed in table 2 and using:…”

Section: Drift-diffusion Modelsmentioning

confidence: 99%

Pattern formation and self-organization in plasmas interacting with surfaces

Trelles¹

2016

J. Phys. D: Appl. Phys.

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Pattern formation and self-organization are fascinating phenomena commonly observed in diverse types of biological, chemical and physical systems, including plasmas. These phenomena are often responsible for the occurrence of coherent structures found in nature, such as recirculation cells and spot arrangements; and their understanding and control can have important implications in technology, e.g. from determining the uniformity of plasma surface treatments to electrode erosion rates. This review comprises theoretical, computational and experimental investigations of the formation of spatiotemporal patterns that result from self-organization events due to the interaction of low-temperature plasmas in contact with confining or intervening surfaces, particularly electrodes. The basic definitions associated to pattern formation and self-organization are provided, as well as some of the characteristics of these phenomena within natural and technological contexts, especially those specific to plasmas. Phenomenological aspects of pattern formation include the competition between production/forcing and dissipation/transport processes, as well as nonequilibrium, stability, bifurcation and nonlinear interactions. The mathematical modeling of pattern formation in plasmas has encompassed from theoretical approaches and canonical models, such as reaction-diffusion systems, to drift-diffusion and nonequilibrium fluid flow models. The computational simulation of pattern formation phenomena imposes distinct challenges to numerical methods, such as high sensitivity to numerical approximations and the occurrence of multiple solutions. Representative experimental and numerical investigations of pattern formation and self-organization in diverse types of low-temperature electrical discharges (low and high pressure glow, dielectric barrier and arc discharges, etc) in contact with solid and liquid electrodes are reviewed. Notably, plasmas in contact with liquids, found in diverse emerging applications ranging from nanomaterial synthesis to medicine, show marked sensitivity to pattern formation and a broadened range of controlling parameters. The results related to the characteristics of the patterns, such as their geometric configuration and static or dynamic nature; as well as their controlling factors, including gas composition, driving voltage and current, electrode cooling, and imposed gas flow, are summarized and discussed. The article finalizes with an outlook of the research area, including theoretical, computational, and experimental needs to advance the field.

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Modelling cathode spots in glow discharges in the cathode boundary layer geometry

Cited by 13 publications

References 14 publications

The 2017 Plasma Roadmap: Low temperature plasma science and technology

The 2017 Plasma Roadmap: Low temperature plasma science and technology

Bifurcations in the theory of current transfer to cathodes of DC discharges and observations of transitions between different modes

Pattern formation and self-organization in plasmas interacting with surfaces

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