Diffusion tensor in electron transport in gases in a radio-frequency field

Kenji Maeda, Toshiaki Makabe, Nobuhiko Nakano, Svetlan Bzenić, Zoran Lj Petrović

Research output: Contribution to journalArticle

62 Citations (Scopus)

Abstract

Electron transport theory in gases in a radio-frequency field is developed in the hydrodynamic regime from the density gradient expansion method of the Boltzmann equation. Swarm parameters for the radio-frequency (rf) field with periodic time modulation are derived as functions of both reduced effective field strength and reduced angular frequency from the time dependent velocity distribution function. The rf electron transport in phase space is analyzed from the series of governing equations by a direct numerical procedure (DNP). Electron velocity distribution function and corresponding swarm parameters obtained from DNP agree with those of the Monte Carlo simulation in the frequency range 10-200 MHz at 10 Td for Reid's inelastic ramp model gas. The temporal modulation of the ensemble average of energy and the diffusion tensor are discussed. The appearance of the anomalous time behavior of the longitudinal diffusion coefficient is discussed in particular detail, and we provide an explanation of the observed effect.

Original languageEnglish
Pages (from-to)5901-5908
Number of pages8
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume55
Issue number5 SUPPL. B
Publication statusPublished - 1997 May

Fingerprint

Electron Transport
radio frequencies
Tensor
tensors
velocity distribution
distribution functions
gases
modulation
Velocity Distribution
Numerical Procedure
Swarm
electrons
transport theory
ramps
Distribution Function
Modulation
field strength
diffusion coefficient
frequency ranges
hydrodynamics

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Diffusion tensor in electron transport in gases in a radio-frequency field. / Maeda, Kenji; Makabe, Toshiaki; Nakano, Nobuhiko; Bzenić, Svetlan; Petrović, Zoran Lj.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 55, No. 5 SUPPL. B, 05.1997, p. 5901-5908.

Research output: Contribution to journalArticle

Maeda, Kenji ; Makabe, Toshiaki ; Nakano, Nobuhiko ; Bzenić, Svetlan ; Petrović, Zoran Lj. / Diffusion tensor in electron transport in gases in a radio-frequency field. In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1997 ; Vol. 55, No. 5 SUPPL. B. pp. 5901-5908.
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