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The spatio-temporal development of electron swarms in gases: moment equation analysis and Hermite polynomial expansion

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タイトル: The spatio-temporal development of electron swarms in gases: moment equation analysis and Hermite polynomial expansion
著者: Sugawara, Hirotake 著作を一覧する
Sakai, Y 著作を一覧する
Tagashira, H 著作を一覧する
Kitamori, K 著作を一覧する
発行日: 1998年 2月
出版者: Institute of Physics
誌名: Journal of Physics D: Applied Physics
巻: 31
号: 3
開始ページ: 319
終了ページ: 327
出版社 DOI: 10.1088/0022-3727/31/3/011
抄録: Spatio-temporal development of electron swarms in gases is simulated using a propagator method based on a series of one-dimensional spatial moment equations. When the moments up to a suecient order are calculated, the spatial distribution function of electrons, p(x), can be constructed by an expansion technique using Hermite polynomials and the weights of the Hermite components are represented in terms of the electron diausion coeecients. It is found that the higher order Hermite components tend to zero with time, that is, the normalized form of p(x) tends to a Gaussian distribution. A time constant of the relaxation is obtained as the ratio of the second- and third-order diausion coeecients, D2 3=D3L . The validity of an empirical approximation in time-of-cight experiments that treats p(x) as a Gaussian distribution is indicated theoretically. It is also found that the diausion coeecient is deaned as the derivative of a quantity called the cumulant which quantiaes the degree of deviation of a statistical distribution from a Gaussian distribution.
Rights: Copyright © 1998 Institute of Physics
Relation (URI): http://www.iop.org/EJ/journal/JPhysD
資料タイプ: article (author version)
URI: http://hdl.handle.net/2115/11393
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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