Third-order transport coefficient tensor of charged-particle swarms in electric and magnetic fields

Ilija Simonović, Danko Bošnjaković, Zoran Petrovic, Peter Stokes, Ronald White, Saša Dujko

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

Third-order transport coefficient tensor of charged-particle swarms in neutral gases in the presence of spatially uniform electric and magnetic fields is considered using a multiterm solution of Boltzmann’s equation and Monte
Carlo simulation technique. The structure of the third-order transport coefficient tensor and symmetries along its individual components in varying configurations of electric and magnetic fields are addressed using a group projector technique and through symmetry considerations of the Boltzmann equation. In addition, we focus upon the physical interpretation of the third-order transport coefficient tensor by considering the extended diffusion equation which incorporates the contribution of the third-order transport coefficients to the density profile of
charged particles. Numerical calculations are carried out for electron and ion swarms for a range of model gases with the aim of establishing accurate benchmarks for third-order transport coefficients. The effects of ion to neutral-particle mass ratio are also examined. The errors of the two-term approximation for solving the Boltzmann equation and limitations of previous treatments of the high-order charged-particle transport properties are also highlighted.
Original languageEnglish
Article number023203
Number of pages22
JournalPhysical Review E
Volume101
Issue number2
DOIs
Publication statusPublished - 10 Feb 2020

Keywords

  • transport
  • Skewness
  • electrons
  • ions
  • third order diffusion
  • symmetry
  • scattering cross sections

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