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Elliptic vector loci of average electron velocity of electron swarm in constant-collision-frequency model gas under ac electric and dc magnetic fields crossed at arbitrary angles
Title: | Elliptic vector loci of average electron velocity of electron swarm in constant-collision-frequency model gas under ac electric and dc magnetic fields crossed at arbitrary angles |
Authors: | Sugawara, Hirotake Browse this author →KAKEN DB | Nakata, Yuya Browse this author |
Issue Date: | 15-Feb-2022 |
Publisher: | Springer |
Journal Title: | European physical journal D, Atoms, molecules and clusters |
Volume: | 76 |
Issue: | 2 |
Start Page: | 32 |
Publisher DOI: | 10.1140/epjd/s10053-022-00346-1 |
Abstract: | The analytic solution of the average electron velocity vector W(t) of an electron swarm in gas under ac electric and dc magnetic fields (E(t) and B, respectively) in a constant-collision-frequency model is extended to cover not only the known case of a right crossing angle (E(t) perpendicular to B) but also the cases of arbitrary crossing angles (E(t) (sic) B). The x, y, and z components of W(t) are obtained as explicit formulae with the following parameters: the amplitude E of E(t), the angle theta between E(t) and B, the angular frequency omega(E) of E(t), the cyclotron angular frequency omega(B) (subject to the strength B of B), and the electron collision frequency nu. A basic feature that W(t) draws elliptic locus in velocity space is unchanged even under E(t) (sic) B, but the plane including the locus may tilt when omega(E), omega(B), or nu varies. The derivation of W(t) based on the analytic solution of single electron motion is detailed and fundamental behavior of the W(t) loci is observed to understand the electron transport under E(t) x B fields. |
Rights: | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1140/epjd/s10053-022-00346-1. |
Type: | article (author version) |
URI: | http://hdl.handle.net/2115/88099 |
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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