open access

https://hdl.handle.net/2115/78664

Configuration of propagator method for calculation of electron velocity distribution function in gas under crossed electric and magnetic fields

2019-06-21

IOP Publishing

Plasma Science and Technology

21(9)

094001-1-094001-18

This paper presents a self-contained description on the con guration of propagator method (PM) to calculate the electron velocity distribution function (EVDF) of electron swarms in gases under dc electric and magnetic elds crossed at a right angle. Velocity space is divided into cells with respect to three polar coordinates v, θ and ϕ. The number of electrons in each cell is stored in three-dimensional arrays. The changes of electron velocity due to acceleration by the electric and magnetic elds and scattering by gas molecules are treated as intercellular electron transfers on the basis of the Boltzmann equation and are represented using operators called the propagators or Green's functions. The collision propagator, assuming isotropic scattering, is basically unchanged from conventional PMs performed under electric elds without magnetic elds. On the other hand, the acceleration propagator is customized for rotational acceleration under the action of the Lorentz force. The acceleration propagator speci c to the present cell con guration is analytically derived. The mean electron energy and average electron velocity vector in a model gas and SF6 were derived from the EVDF as a demonstration of the PM under the Hall de ection and they were in a ne agreement with those obtained by Monte Carlo simulations. A strategy for fast relaxation is discussed, and extension of the PM for the EVDF under ac electric and dc/ac magnetic elds is outlined as well.

学術雑誌論文

Accepted Manuscript

Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported

This is a peer-reviewed, un-copyedited version of an article accepted for publication/published in Plasma Sources Science and Technology. 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 10.1088/2058-6272/ab20e0. This Accepted Manuscript is available for reuse under a CC BY-NC-ND 3.0 licence after the 12 month embargo period provided that all the terms of the licence are adhered to.

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