Electron Boltzmann kinetic equation averaged over fast electron bouncing and pitch-angle scattering for fast modeling of electron cyclotron resonance discharge

Kaganovich, Igor; Mišina, M.; Berezhnoi, S. V.; Gijbels, R.

doi:10.1103/physreve.61.1875

Cited by 43 publications

(42 citation statements)

References 27 publications

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“…27 We note that for Maxwellian electron EDF and xenon plasma, ε w ≈7.77T e and the experimental electron-wall collision frequency is However, it is unclear what physical mechanisms could keep SEE low when the electron temperature is so high. A truncation of the electron EDF at high energy is known to affect the sheath potential drop.…”

Section: B Determination Of Plasma Parametersmentioning

confidence: 82%

Space charge saturated sheath regime and electron temperature saturation in Hall thrusters

et al. 2005

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Secondary electron emission in Hall thrusters is predicted to lead to space charge saturated wall sheaths resulting in enhanced power losses in the thruster channel.Analysis of experimentally obtained electron-wall collision frequency suggests that the electron temperature saturation, which occurs at high discharge voltages, appears to be caused by a decrease of the Joule heating rather than by the enhancement of the electron energy loss at the walls due to a strong secondary electron emission.2

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Section: B Determination Of Plasma Parametersmentioning

confidence: 82%

Space charge saturated sheath regime and electron temperature saturation in Hall thrusters

et al. 2005

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“…A similar depletion effect of wall losses on electron EDF is also known in other types of low-pressure gas discharges. 21 For HTs, because of a small SEE, a minor contribution of electron-wall collisions is expected to the electron transport. 17,19,20 According to a conventional model of electron-wall interaction [7][8][9][10]17 , the frequency of electron-wall collisions depends on the electron flux and the channel geometry,…”

mentioning

confidence: 99%

Electron-wall Interaction in Hall Thrusters

Raitses¹,

Staack²,

Keidar³

et al. 2005

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Electron-wall interaction effects in Hall thrusters are studied through measurements of the plasma response to variations of the thruster channel width and the discharge voltage.The discharge voltage threshold is shown to separate two thruster regimes. Below this threshold, the electron energy gain is constant in the acceleration region and therefore, secondary electron emission (SEE) from the channel walls is insufficient to enhance electron energy losses at the channel walls. Above this voltage threshold, the maximum electron temperature saturates. This result seemingly agrees with predictions of the temperature saturation, which recent Hall thruster models explain as a transition to space charge saturated regime of the near-wall sheath. However, in the experiment, the maximum saturation temperature exceeds by almost three times the critical value estimated under the assumption of a Maxwellian electron energy distribution function.The channel narrowing, which should also enhance electron-wall collisions, causes unexpectedly larger changes of the plasma potential distribution than does the increase of the electron temperature with the discharge voltage. An enhanced anomalous crossed field mobility (near-wall or Bohm-type) is suggested by a hydrodynamic model as an explanation to the reduced electric field measured inside a narrow channel. We found, however, no experimental evidence of a coupling between the electron temperature and the location of the accelerating voltage drop, which might have been expected due to the SEE-induced near-wall conductivity.2

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“…[31] the capacitive discharge, in Ref. [43] the electron-cyclotron-resonance discharge, and in Ref. [44] the surface-wave discharge were considered with self-consistent account for collisionless heating.…”

Section: Self-consistent System Of Equations For a Kinetic Descrimentioning

confidence: 99%

Landau damping and anomalous skin effect in low-pressure gas discharges: Self-consistent treatment of collisionless heating

2004

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In low-pressure discharges, where the electron mean free path is larger or comparable with the discharge length, the electron dynamics is essentially nonlocal. Moreover, the electron energy distribution function (EEDF) deviates considerably from a Maxwellian. Therefore, an accurate kinetic description of the low-pressure discharges requires knowledge of the nonlocal conductivity operator and calculation of the non-Maxwellian EEDF. The previous treatments made use of simplifying assumptions: a uniform density profile and a Maxwellian EEDF. In the present study a self-consistent system of equations for the kinetic description of nonlocal, nonuniform, nearly collisionless plasmas of low-pressure discharges is reported. It consists of the nonlocal conductivity operator and the averaged kinetic equation for calculation of the non-Maxwellian EEDF. This system was applied to the calculation of collisionless heating in capacitively and inductively coupled plasmas. In particular, the importance of accounting for the nonuniform plasma density profile for computing the current density profile and the EEDF is demonstrated. The enhancement of collisionless heating due to the bounce resonance between the electron motion in the potential well and the external rf electric field is investigated. It is shown that a nonlinear and self-consistent treatment is necessary for the correct description of collisionless heating.

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Electron Boltzmann kinetic equation averaged over fast electron bouncing and pitch-angle scattering for fast modeling of electron cyclotron resonance discharge

Cited by 43 publications

References 27 publications

Space charge saturated sheath regime and electron temperature saturation in Hall thrusters

Space charge saturated sheath regime and electron temperature saturation in Hall thrusters

Electron-wall Interaction in Hall Thrusters

Landau damping and anomalous skin effect in low-pressure gas discharges: Self-consistent treatment of collisionless heating

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