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A Computational Scheme of Propagator Method for Moment Equations to Derive Real-Space Electron Transport Coefficients in Gas Under Crossed Electric and Magnetic Fields

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Title: A Computational Scheme of Propagator Method for Moment Equations to Derive Real-Space Electron Transport Coefficients in Gas Under Crossed Electric and Magnetic Fields
Authors: Sugawara, Hirotake Browse this author →KAKEN DB
Keywords: crossed electric and magnetic fields
diffusion coefficient
drift velocity
electron swarm
electron velocity distribution
magnetized plasma
moment equation
propagator method
Issue Date: 6-Sep-2018
Publisher: IEEE
Journal Title: IEEE Transactions on Plasma Science
Volume: 47
Issue: 2
Start Page: 1071
End Page: 1082
Publisher DOI: 10.1109/TPS.2018.2866187
Abstract: A numerical technique to calculate real-space electron transport coefficients in gas under crossed electric and magnetic fields (E B fields) by propagator method was newly developed. Components of centroid drift velocity vector of an electron swarm and its diffusion coefficients defined in the E, B, and E B directions were calculated by applying the propagator method stepwise to the zeroth-, first-, and second-order x, y, and z spatial moment equations derived from the Boltzmann equation. The results calculated for SF6 at N = 1022 m−3 in E=N and B=N ranges of 100–1000 Td and 100–1000 Hx, respectively, agreed with those obtained by Monte Carlo simulations with discrepancies of a few percent. The Hall deflection of the drift velocity vector and the direction dependency of the diffusion coefficients were appropriately reproduced. A relaxation scheme developed for quick convergence of the electron velocity distribution function was effective also in the relaxations of the first- and second-order spatial moment distribution functions. A prototype of the propagator method as a calculation scheme to derive a set of electron transport coefficients necessary for fluid model simulations of magnetized plasmas was established.
Rights: © 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Type: article (author version)
URI: http://hdl.handle.net/2115/79230
Appears in Collections:情報科学院・情報科学研究院 (Graduate School of Information Science and Technology / Faculty of Information Science and Technology) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 菅原 広剛

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