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A technology demonstration of propagator matrix power method for calculation of electron velocity distribution functions in gas in longterm 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 longterm 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:  9Mar2021 
Publisher:  IOP Publishing 
Journal Title:  Japanese Journal of Applied Physics (JJAP) 
Volume:  60 
Issue:  4 
Start Page:  046001 
Publisher DOI:  10.35848/13474065/abe8a7 
Abstract:  A matrixbased 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 P2, P4, P8, P16,., up to a sufficient order of the power P2S. 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 P2S 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 (Peerreviewed Journal Articles, etc)

Submitter: 菅原 広剛
