Third-order transport coefficients for electrons in N2 and CF4: effects of non-conservative collisions, concurrence with diffusion coefficients and contribution to the spatial profile of the swarm

Ilija Simonović, Danko Bošnjaković, Zoran Petrović, Ronald White, Saša Dujko

Research output: Contribution to journalArticlepeer-review

Abstract

Using a multi-term solution of the Boltzmann equation and Monte Carlo
simulation technique we study behaviour of the third-order transport coefficients for electrons in model gases, including the ionisation model of Lucas and Saelee and modified Ness-Robson model of electron attachment, and in real gases, including N2 and CF4. We observe negative values in the E/n0-profiles of the longitudinal and transverse third-order transport coefficients for electrons in CF4 (where E is the electric field and n0 is the gas number density). While negative values of the longitudinal third-order transport coefficients are caused by the presence of rapidly increasing cross sections for vibrational excitations of CF4, the transverse third-order transport coefficient becomes negative over the E/n0-values after the occurrence of negative differential conductivity. The discrepancy between the two-term approximation and the full multi-term solution of the Boltzmann equation is investigated for electrons in N2 and CF4. While the accuracy of the two-term approximation is sufficient to investigate the behaviour of the third-order transport coefficients in N2, it produces
large errors and is not even qualitatively correct for electrons in CF4. The influence of implicit and explicit effects of electron attachment and ionisation on the third-order transport tensor is investigated. In particular, we discuss the effects of attachment heating and attachment cooling on the third-order transport coefficients for electrons in the modified Ness-Robson model, while the effects of ionisation are studied for electrons in the ionisation model of Lucas and Saelee, N2 and CF4. The concurrence between the third-order transport coefficients and the components of the diffusion tensor, and
the contribution of the longitudinal component of the third-order transport tensor to the spatial profile of the swarm are also investigated. For electrons in CF4 and CH4, we found that the contribution of the component of the third-order transport tensor to the spatial profile of the swarm between approximately 50 Td and 700 Td, is almost identical to the corresponding contribution for electrons in N2. This suggests that the recent measurements of third-order transport coefficients for electrons in N2 may be extended and generalized to other gases, such as CF4 and CH4.
Original languageEnglish
Article number 015003
Number of pages19
JournalPlasma Sources Science and Technology
Volume31
Issue number1
DOIs
Publication statusPublished - 11 Jan 2022

Bibliographical note

Publisher Copyright:
© 2022 IOP Publishing Ltd.

Keywords

  • Third-order transport coefficient
  • Boltzmann equation
  • Monte Carlo simulation
  • electron transport
  • ionisation
  • electron attachment

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