Collision Dominated Electron Kinetics in Low and High Frequency Fields

Winkler, R.

doi:10.1007/978-1-4899-1130-8_22

Cited by 10 publications

(8 citation statements)

References 11 publications

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“…are, finally, obtained when solving the diffusion equation (18) and the momentum balance (7) with (15). According to relations (21), an exponential spatial decay of the energy flux density j ez and a linear decrease of the mean energy density u m from their respective boundary values are obtained involving the spatially unchanged particle flux density j z (0).…”

Section: Basic Relations Of the Kinetic Treatmentmentioning

confidence: 99%

“…In the active region of various discharge plasmas, for instance in glow, radiofrequency, microwave or surface wave discharges, the primary activation of the neutral gas particles usually takes place by their binary collisions with the energetic electron gas. Because of the poor thermal contact of the electrons with the heavy gas particles, a non-equilibrium kinetics of the electron gas results and the primary activation of the heavy particles occurs, as a rule, under pronounced non-equilibrium conditions [7][8][9][10][11][12][13][14][15][16]. As a consequence, the macroscopic properties of the electron gas, particularly their transport and dissipation coefficients and the different rate coefficients of inelastic collisions cannot be found by applying a hydrodynamic description of the electrons.…”

Section: Introductionmentioning

confidence: 99%

“…As a consequence, the macroscopic properties of the electron gas, particularly their transport and dissipation coefficients and the different rate coefficients of inelastic collisions cannot be found by applying a hydrodynamic description of the electrons. Instead, a rigorous kinetic analysis of the electrons [7,[10][11][12][13][14][15][16][17][18] is required to deduce these macroscopic properties. This requires a strict treatment of the non-local electron response to the spatial variation of significant plasma parameters.…”

Section: Introductionmentioning

confidence: 99%

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Relaxation of the electron gas in spatially decaying plasmas

Winkler¹,

Sigeneger²

2001

J. Phys. D: Appl. Phys.

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In the spatial decay region immediately adjacent to the active zone of weakly ionized plasmas, the spatial relaxation of the electron gas is studied in the inert gases Ne and He, the metal vapour Hg and in molecular nitrogen. In these gas plasmas, the spatial decay behaviour of the isotropic and anisotropic part of the velocity distribution as well as of all important macroscopic properties of the electrons is investigated and analysed on a rigorous kinetic basis developed for field-free relaxation conditions. In particular, the rather different decay features of the electron gas in different gases and the relevant spatial scales involved in the decay process could be clearly elaborated and well characterized by deducing an energy-resolved, lumped energy dissipation length. In addition to the energy-resolved characterization of the velocity distribution, especially the spatial decay of the electron energy flux, of the power transfer rates to the gas particles in electron collisions and of the mean electron energy is evaluated. Furthermore, the influence of a variation of the boundary conditions, necessarily imposed at the margins of the spatial decay region, on the resultant decay behaviour is critically investigated.

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Section: Basic Relations Of the Kinetic Treatmentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Relaxation of the electron gas in spatially decaying plasmas

Winkler¹,

Sigeneger²

2001

J. Phys. D: Appl. Phys.

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“…The prior pdf P (f|I ) entering equation (6) has to quantify all the information we have about the EEDF. The distribution has to be positive and additive in the sense that by connecting two energy cells the number of electrons in the joint cell is the sum over the subcells.…”

Section: Priorsmentioning

confidence: 99%

“…The notation of temperatures for the various parts of the EEDF is often a poor approximation for describing the whole EEDF [2]. Theoretically determined EEDFs solving the Boltzmann equation can be found in [3][4][5][6][7][8][9] and experimentally determined EEDFs can be found in [7,8,10].…”

Section: Introductionmentioning

confidence: 99%

Electron energy distribution reconstruction in low-pressure helium plasmas from optical measurements

Fischer¹,

Dose²

1999

Plasma Phys. Control. Fusion

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Electron energy distribution functions (EEDFs) in electron-cyclotron resonance heated low-pressure helium plasmas were reconstructed form-free from eight helium spectral line intensities. The extreme ill-posedness of the inversion problem due to the small amount of noisy data is tackled with Bayesian data analysis by quantification of all the relevant information and combining them within a probabilistic theory. The line intensities are calculated with a stationary collision-radiative model including de-excitation of the metastable states by wall collisions. The uncertainties of the cross sections of electron impact excitation are taken into account as they correspond in size to the errors of the measured line intensities. The most probable form-free EEDF and its confidence interval describing only the significant information content in the data shows a distinct non-Maxwellian form with a depressed tail in the range of inelastic collisions.

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