2024-03-29T06:34:55Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/843402022-11-17T02:08:08Zhdl_2115_20053hdl_2115_145A 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 fields1000090241356Sugawara, HirotakeIwamoto, Hikaruopen access©2021 The Japan Society of Applied Physicselectron swarmelectron velocity distribution functionmatrix operationpropagator methodrelaxationsimulation540A 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 PhysicsIOP Publishing2021-03-09engjournal articleAMhttp://hdl.handle.net/2115/84340https://doi.org/10.35848/1347-4065/abe8a70021-4922Japanese Journal of Applied Physics (JJAP)604046001https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/84340/1/Sugawara-2021-JJAP-60%284%29-046001-HUSCAP98146.pdfapplication/pdf187.24 KB2021-03-09