Numerical calculations for the electron energy distribution in a helium, hollow-cathode glow discharge

Hashiguchi, Seishiro

doi:10.1109/27.106827

Cited by 22 publications

(16 citation statements)

References 12 publications

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“…[4]). Other Monte Carlo results, for transport of electron swarm in gas discharges, are also given by Weng and Kushner [5] and Hashigushi [6] but the treatment of electron-electron interactions by the present work method is quite different especially from Hashigushi's.…”

Section: Introductionmentioning

confidence: 71%

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: Introductionmentioning

confidence: 71%

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

1992

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“…The Coulomb cross section for e-e interaction, σ c (ε coll ), was taken from Mitchner and Kruger [17]. The collisional energy, ε coll , was calculated by the scheme of Hashiguchi [5]. The scheme of Hashiguchi assumes an isotropic velocity distribution of the background electrons.…”

Section: Electron-electron (E-e) Interactionsmentioning

confidence: 99%

Plasma excitation processes in flue gas simulated with Monte Carlo electron dynamics

Tas

Veldhuizen

Rutgers

1997

J. Phys. D: Appl. Phys.

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Abstract. The excitation of gas molecules in flue gas by electron impact is calculated with a Monte Carlo (MC) algorithm for electron dynamics in partially ionized gases. The MC algorithm is straightforward for any mixture of molecules for which cross sections are available. Electron drift is simulated in the first case for homogeneous electric fields and in the second case for secondary electrons which are produced by electron-beam irradiation. The electron energy distribution function,ε e ,v d ,λ, the energy branching and the rate of excitation are calculated for standard gas mixtures of Ar-N 2 , O 2 and H 2 O. These fundamental process parameters are needed for the study of reactions to remove NO x from flue gas. The calculated results indicate that the production of highly excited molecules in the high electric field of a streamer corona discharge has an efficiency similar to that of electron-beam irradiation.

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“…One possible simplification is to treat the multiple electronelectron interactions as a succession of discrete, binary collisions; this approximation has often been adopted in Boltzmann equation analysis, 11,[14][15][16] as well in Monte Carlo simulations. 17,18 Different methods for a more efficient description of Coulomb collisions have also been proposed. 19,20 This paper introduces a novel, approximation-free method for the description of the motion of electrons in a background gas, under the influence of a static external electric field and electron-electron interactions, at arbitrary ratios of the electron to the neutral particle densities.…”

Section: Introductionmentioning

confidence: 99%

First principles calculation of the effect of Coulomb collisions in partially ionized gases

Donkó

2014

Physics of Plasmas

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Coulomb collisions, at appreciable ratios (η) of the electron to the neutral particle density, influence significantly the electron kinetics in particle swarms and in plasmas of gas discharges. This paper introduces a combination of Molecular Dynamics and Monte Carlo simulation techniques, to provide a novel, approximationfree, first principles calculation method for the velocity distribution function of electrons, and related swarm characteristics, at arbitrary η. Simulation results are presented for electrons in argon gas, for density ratios between zero and 10 −1 , representing the limits of a negligible electron density and an almost complete Maxwellization of the velocity distribution function, respectively. PACS numbers: 52.65.-y, 52.25. Fi,

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Numerical calculations for the electron energy distribution in a helium, hollow-cathode glow discharge

Cited by 22 publications

References 12 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

Plasma excitation processes in flue gas simulated with Monte Carlo electron dynamics

First principles calculation of the effect of Coulomb collisions in partially ionized gases

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