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A relaxation-accelerated propagator method for calculations of electron energy distribution function and electron transport parameters in gas under dc electric fields

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タイトル: A relaxation-accelerated propagator method for calculations of electron energy distribution function and electron transport parameters in gas under dc electric fields
著者: Sugawara, Hirotake 著作を一覧する
キーワード: propagator method
electron energy distribution function
electron swarm parameters
numerical relaxation
the Boltzmann equation
発行日: 2017年 4月 1日
出版者: IOP Publishing
誌名: Plasma Sources Science and Technology
巻: 26
号: 4
開始ページ: 044002
出版社 DOI: 10.1088/1361-6595/aa5d7f
抄録: A propagator method (PM), a numerical technique to solve the Boltzmann equation (BE) for the electron velocity or energy distribution function (EVDF/EEDF) of electron swarms in gases, was customized to obtain the equilibrium solution quickly. The PM calculates the number of electrons in cells defined in velocity space using an operator called the propagator or Green’s function. The propagator represents the intercellular transfer of electrons corresponding to the electron velocity change due to the acceleration by the electric field and the collisional events with gas molecules. The relaxation of the EVDF to its drift equilibrium solution proceeds with iterative propagator operations for the EVDF. Merits of the PM are that the series expansion of the EVDF as done in the BE analyses is not required and that time evolution of the electron swarm can be observed if necessary. On the other hand, in case only the equilibrium solution of the EVDF is wanted, the relaxation can be accelerated numerically. A demonstration achieved a shortening of the computational time by about three orders of magnitude. Furthermore, this scheme was applied to calculations of a set of electron transport parameters required in fluid-model simulations, i.e. the effective ionization frequency, the centroid drift velocity and the longitudinal diffusion coefficient, using the zeroth-, first- and second-order moment equations derived from the BE. A detailed description on the PM calculation was presented.
Rights: Copyright ©2017 IOP Publishing Ltd.
資料タイプ: article (author version)
URI: http://hdl.handle.net/2115/68648
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 菅原 広剛

 

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