Boltzmann-equation analysis of electron kinetics in a positive column of low-pressure Hg–rare-gas discharges

Yousfi, Mohammed; Zissis, Georges; Alkaa, A.; Damelincourt, J. J.

doi:10.1103/physreva.42.978

Cited by 24 publications

(19 citation statements)

References 19 publications

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“…P col, el P col, in +P col, sup +P col, null +P col, e-e Furthermore, it is important to note that null collision frequency v""ll must be chosen high enough in order to have total collision frequency v", which always verifies this inequality: v", ) v, , + v, , Such caution is necessary because v, "which depends on the electron distribution function [see relation (13)], is not known a priori (i.e. , in the beginning of Monte Carlo simulation) contrarily to v, .…”

Section: Comparisons Between Monte Carlo and Boltzmann Equation Resultsmentioning

confidence: 99%

“…When the following primary electrons are treated, the mean distribution of the previous electrons is considered: for example, for the ith primary electron, the mean distribution of the (i -1)th In the following some results are given for different atomic and molecular gases in order to emphasize the specific behavior of each gas when the influence of electron-electron processes becomes significant. References of elastic and inelastic (excitation and ionization) electron-atom collision cross sections for the different rare gases (He, Ne, Ar, Kr, and Xe) have already been given by Yousfi et al [13] while collision cross sections for the molecular gas chosen (N2) come from Phelps and Pitchford [17]. Figure 1 shows, as an illustration, momentum transfer cross sections for the different gases analyzed in this paper.…”

Section: Treatment Of Electron Electronand Electron-molecule Interactmentioning

confidence: 94%

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Boltzmann equation and Monte Carlo analysis of electron-electron interactions on electron distributions in nonthermal cold plasmas

1992

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Electron distribution functions in nonthermal cold plasmas generated by classical electrical discharges have been calculated from a powerful Boltzmann equation solution and an original Monte Carlo simulation. In these two methods both classical (i.e. , elastic, inelastic, and superelastic) electron-atom (or molecule) collisions and electron-electron interactions are taken into account. The approximations considered to include long-range (electron-electron) and short-range (electron-atom) interactions in the same Monte Carlo algorithm are first validated by comparing with Boltzmann equation results. Then, the influence of electron-electron interactions on electron distribution functions, swarm parameters, and reaction rates under nonthermal cold plasma conditions are analyzed and discussed as a function of reduced electric field E/N and ionization degree n, /N for different atomic and molecular gases. PACS number(s): 52.20.Fs, 51.50.+v and time-dependentBoltzmann equation solution proposed in this paper is based on a stable and powerful numerical scheme. It is different from the classical scheme of Rockwood (used by numerous authors) since, due to the iterative nature of the present work scheme, there is no restriction for the treatment of any kind of collisions involving electrons (elastic, superelastic, inelastic, and also ionization stepwise or Penning ionization). Concerning the treatment of electron-electron interactions with

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Section: Comparisons Between Monte Carlo and Boltzmann Equation Resultsmentioning

confidence: 99%

Section: Treatment Of Electron Electronand Electron-molecule Interactmentioning

confidence: 94%

Boltzmann equation and Monte Carlo analysis of electron-electron interactions on electron distributions in nonthermal cold plasmas

1992

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“…2 we conclude that for discharge conditions typical for operation of the mercury fluorescent lamp the EEDF is neither local nor non-local and only a 1D solution of the electron Boltzmann equation provides accurate results. Previous authors [7][8][9][10][11][12][13] considered the EEDF local and used 0D Boltzmann codes, while we find that the EEDF is much closer to the nonlocal one.…”

Section: A Radial Properties In An Inhomogeneous Column Dischargementioning

confidence: 54%

“…Penning ionization of excited Ar states with Hg ground state, 58 chemi-ionization, 59,60 transitions between the excited states of Hg in collisions with heavy particles, [61][62][63][64] and diffusion of ions 65 and metastables, 66 are summarized in Tables IV and V. We reduced slightly Vriens et al rate coefficient for chemiionization just as other authors did to match their model predictions with experimental data. 11,12,[67][68][69] To account for the radiation trapping we use the concept of effective lifetimes. The ϭ254 nm resonance line is strongly reabsorbed and the escape probability is of order of 10 Ϫ2 .…”

Section: Atomic Datamentioning

confidence: 99%

“…The plasma properties and radiation yield were investigated at different discharge conditions and compared with experimental data. Subsequently, Yousfi et al 11 noted that Winkler's models did not include Ar-Hg and Hg-Hg metastable-metastable collisions, which are important ionization mechanisms in Hg rare-gas discharges. Their work concentrated on the EEDF and presented comparisons with other models and data, but did not couple the electron kinetics with excited state kinetics to analyze the radiation output.…”

Section: Introductionmentioning

confidence: 99%

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Inhomogeneous model of an Ar–Hg direct current column discharge

Petrov¹,

Giuliani

2003

Journal of Applied Physics

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The inhomogeneous electron Boltzmann equation is solved for an Ar-Hg positive column direct current glow discharge with properties similar to the standard fluorescent lamp. The inhomogeneity arises from the ambipolar potential and requires the inclusion of the spatial gradient term in the Boltzmann equation. The electron kinetics is coupled to a collisional-radiative equilibrium model for various states of Ar and Hg subject to a reaction set with electron and heavy particle collisions. The axial electric field and space-charge potential are solved self-consistently. The calculated electron distribution function satisfies neither the local nor nonlocal approaches, but rather is found to be a function of both the electron energy and radial position. The radial dependence produces an energy flow from one part of the discharge to another, which results in nonuniform ultraviolet radiative power. Results are given for global properties of the discharge such as power per unit length and axial electric field, as well as spatially averaged quantities ͑densities, electron and gas temperatures, and emission powers͒ as a function of the wall temperature and the current. Extensive comparisons are presented with experimental data and previous homogeneous Boltzmann models of the discharge. The optimum current and fill pressures are determined and the general trends of varying the input parameters are established. There is general agreement between the present model and data, except that the calculated average electron density is larger than the measured values.

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Electrodeless Gas Discharges for Lighting

Lister

1999

Advanced Technologies Based on Wave and Beam Generated Plasmas

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Boltzmann-equation analysis of electron kinetics in a positive column of low-pressure Hg–rare-gas discharges

Cited by 24 publications

References 19 publications

Boltzmann equation and Monte Carlo analysis of electron-electron interactions on electron distributions in nonthermal cold plasmas

Boltzmann equation and Monte Carlo analysis of electron-electron interactions on electron distributions in nonthermal cold plasmas

Inhomogeneous model of an Ar–Hg direct current column discharge

Electrodeless Gas Discharges for Lighting

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