open access

https://hdl.handle.net/2115/84340

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

英語

simulation

2021-03-09

IOP Publishing

Japanese Journal of Applied Physics

60(4)

046001

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

学術雑誌論文

Accepted Manuscript

Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International

This is the Accepted Manuscript version of an article accepted for publication in Japanese Journal of Applied Physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.35848/1347-4065/abe8a7

0021-4922