Computer Simulation of Electrical Breakdown in Gases; Avalanche and Streamer Formation

Kline, L. E.; Siambis, John G.

doi:10.1103/physreva.5.794

Cited by 80 publications

(32 citation statements)

References 20 publications

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“…Since 1970s, numerical simulation has gradually become one of the main tools to study the mechanism of both glow and streamer discharges [13][14][15][16][17]. Generally, gas discharges can be numerically modelled in two different ways.…”

Section: Introductionmentioning

confidence: 99%

“…This system of partial differential equations is complicated to solve since the continuity equations are convection-dominated and strongly coupled with the fast-changing electric field. At first, the hydrodynamic model was solved only in one dimension (1D or 1.5D) considering several simplifications [13][14][15][16][17]. The first detailed two dimensional (2D) simulation of streamer discharge was performed by Dhali and Williams in 1987 [19], where the flux-corrected transportfinite differential method (FD-FCT) was used.…”

Section: Introductionmentioning

confidence: 99%

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On the transition from stable positive glow corona to streamers

Liu¹,

Becerra²

2016

J. Phys. D: Appl. Phys.

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A two-dimensional numerical simulation of the transition from stable positive glow corona to streamers in coaxial cylindrical configuration is presented. The hydrodynamic model with several convection-dominated continuity equations together with Poisson equation are solved with consideration of the ionization layer. The transition from a stable positive glow corona produced under a DC voltage to streamers is investigated under a sudden change of the applied voltage. The critical rate of rise of voltage required for the transition from positive glow to streamer corona is evaluated with a voltage ramp. By introducing either physical or numerical instabilities into the model, streamers with filamentary structures are observed, which produce a sudden increase of the discharge current by more than two orders of magnitude. It is also found that the surface electric field of the corona-generating conductor deviates from the onset electric field, casting doubts about the validity of Kaptzov's approximation to evaluate the transition from stable glow to streamers.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the transition from stable positive glow corona to streamers

Liu¹,

Becerra²

2016

J. Phys. D: Appl. Phys.

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“…From Figure 4 we see that the coordinates of the turning point are equal to p t = 0.096 torr and U t = 127 V. Then E/p = 570.9 V/(cm torr) and V dr = 9.8 × 10 7 cm/s. The values of the electron drift velocity determined from our measured breakdown curves [14], empty circles are for the experimental data from turning points (f = 13.56 MHz) [14], solid circles are for the experimental data from turning points (f = 27.12 MHz) [14], dash curve presents the calculation data from [17], dash-dot curve presents the calculation data from [18], dot curve presents the calculation data from [19], solid triangles are for the measured data from [20], empty triangles are for the experimental data from [21], solid squares are for the experimental data from [22], the empty upside-down triangles are for the experimental data from [23] and empty squares are for the experimental data from [24].…”

Section: Determination Of Electrode Voltagementioning

confidence: 99%

“…We published these data for the electron drift velocity in nitrogen recently [14]. The same figure shows the results of simulations [17][18][19] and measurements from [20][21][22][23][24]. We have used the Bolsig code (Kinema Research and Software) with the cross-sections from [25] in order to obtain the values of the electron drift velocity over a wide range of E/p.…”

Section: Determination Of Electrode Voltagementioning

confidence: 99%

A technique for evaluating the RF voltage across the electrodes of a capacitively-coupled plasma reactor

Lisovskiy

Booth

Landry³

et al. 2006

Eur. Phys. J. Appl. Phys.

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Abstract. We propose a new technique for evaluating the RF voltage across the electrodes of low-pressure capacitively-coupled plasma reactors when direct measurements are not possible. It is based on determining the coordinates of the turning point in the RF breakdown curve and using known values of the electron drift velocity for the gas. The results are in good agreement with those obtained by direct measurements at the driven electrode. Furthermore it allows RF breakdown curves to be determined for different frequencies, giving results that are physically reasonable (coincidence of right-hand branches) and in agreement with other published results. The technique for determining RF voltage we proposed is valid when there is no discharge plasma between electrodes (e.g., before gas breakdown), as well as for negligibly small discharge currents (before extinction of the weak-current discharge mode).

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“…One was a Monte Carlo simulation of the temporal development of electron avalanches or streamers. 13 The other was a study of a low-pressure plasma diode using the Krook model to describe the collision term in the Boltzmann equation. 14 These theories will be discussed in the following section.…”

Section: L I T E R a T U R E Searchmentioning

confidence: 99%

Plasma Sheath Processes.

Long¹

1979

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Computer Simulation of Electrical Breakdown in Gases; Avalanche and Streamer Formation

Cited by 80 publications

References 20 publications

On the transition from stable positive glow corona to streamers

On the transition from stable positive glow corona to streamers

A technique for evaluating the RF voltage across the electrodes of a capacitively-coupled plasma reactor

Plasma Sheath Processes.

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