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A technology demonstration of propagator matrix power method for calculation of electron velocity distribution functions in gas in long-term transient and succeeding equilibrium states under dc electric fields
| Title: | A technology demonstration of propagator matrix power method for calculation of electron velocity distribution functions in gas in long-term transient and succeeding equilibrium states under dc electric fields |
| Authors: | Sugawara, Hirotake Browse this author →KAKEN DB | | Iwamoto, Hikaru Browse this author |
| Keywords: | electron swarm | | electron velocity distribution function | | matrix operation | | propagator method | | relaxation | | simulation |
| Issue Date: | 9-Mar-2021 |
| Publisher: | IOP Publishing |
| Journal Title: | Japanese Journal of Applied Physics (JJAP) |
| Volume: | 60 |
| Issue: | 4 |
| Start Page: | 046001 |
| Publisher DOI: | 10.35848/1347-4065/abe8a7 |
| Abstract: | A matrix-based calculation for the electron velocity distribution function (EVDF) in gas under dc electric field is demonstrated. The propagator matrix power method (PMPM) repeats squaring the propagator matrix P for its powers P-2, P-4, P-8, P-16,., up to a sufficient order of the power P-2S. P is a square matrix representing the change of EVDF due to the electron acceleration by an electric field and the electron scattering by gas molecules in a time step Delta t. With an initial EVDF f(t(0)) in a form of a column vector, a matrix product P-2S f(t(0)) gives the EVDF at t = t(0) + 2(S)Delta t. The PMPM enables us to observe the EVDF relaxation in a logarithmic time scale with a linear increase of the matrix squaring steps S. Features of the PMPM are discussed, and theoretically possible extensions to models under crossed electric and magnetic fields and ac electric field are investigated. (c) 2021 The Japan Society of Applied Physics |
| Rights: | ©2021 The Japan Society of Applied Physics |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/84340 |
| 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)
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Submitter: 菅原 広剛
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