Title |
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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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Accessrights |
open access |
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en
© 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.
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Subject |
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Other
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crossed electric and magnetic fields
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Other
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diffusion coefficient
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Other
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drift velocity
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electron swarm
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electron velocity distribution
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magnetized plasma
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Other
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moment equation
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Other
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propagator method
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NDC
427
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Description |
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Abstract
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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.
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Publisher |
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IEEE
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Date |
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Resource Type |
journal article |
Version Type |
AM |
Identifier |
HDL
http://hdl.handle.net/2115/79230
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Relation |
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isVersionOf
DOI
https://doi.org/10.1109/TPS.2018.2866187
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Journal |
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PISSN
0093-3813
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EISSN
1939-9375
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IEEE Transactions on Plasma Science
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Volume Number47
Issue Number2
Page Start1071
Page End1082
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File |
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Oaidate |
2023-07-26 |