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Third-order transport coefficient tensor of electron swarms in noble gases
The European Physical Journal D ( IF 1.8 ) Pub Date : 2020-04-01 , DOI: 10.1140/epjd/e2020-100574-y
Ilija Simonović , Danko Bošnjaković , Zoran Lj. Petrović , Ronald D. White , Saša Dujko

Abstract

In this work we extend a multi term solution of the Boltzmann equation for electrons in neutral gases to consider the third-order transport coefficient tensor. Calculations of the third-order transport coefficients have been carried out for electrons in noble gases, including helium (He), neon (Ne), argon (Ar), krypton (Kr) and xenon (Xe) as a function of the reduced electric field, E/n0 (where E is the electric field while n0 is the gas number density). Three fundamental issues are considered: (i) the correlation between the longitudinal component of the third-order transport tensor and the longitudinal component of the diffusion tensor, (ii) the influence of the third-order transport coefficients on the spatial profile of electron swarm, and (iii) the errors associated with the two term approximation for calculating the third-order transport coefficients for electron swarms in noble gases. It is found that a very strong correlation exists between the longitudinal components of the third-order transport coefficient tensor and diffusion tensor for the higher values of E/n0. The effects of the third-order transport coefficients on the spatial profile of electron swarms are the most pronounced for noble gases with the Ramsauer-Townsend minimum in the cross sections for elastic scattering. The largest errors of two term approximation are observed in the off-diagonal elements of the third-order transport coefficient tensor in Ar, Kr and Xe for the higher values of E/n0.

Graphical abstract



中文翻译:

稀有气体中电子群的三阶输运系数张量

摘要

在这项工作中,我们扩展了中性气体中电子的玻尔兹曼方程的多项式解,以考虑三阶传输系数张量。已经对稀有气体(包括氦(He),氖(Ne),氩(Ar),k(Kr)和氙(Xe))中的电子作为还原电的函数进行了三阶输运系数的计算。场,E / n 0(其中E是电场而n 0是气体数密度)。考虑了三个基本问题:(i)三阶传输张量的纵向分量与扩散张量的纵向分量之间的相关性,(ii)三阶传输系数对电子群空间分布的影响(iii)与用于计算稀有气体中电子群的三阶输运系数的两项近似相关的误差。发现对于较高的E / n 0值,三阶传输系数张量的纵向分量和扩散张量之间存在非常强的相关性。。对于稀有气体,三阶传输系数对电子群的空间分布的影响最为明显,弹性散射的横截面中的Ramsauer-Townsend最小值。对于E / n 0的较高值,在Ar,Kr和Xe中三阶传输系数张量的非对角元素中观察到了两项近似的最大误差。

图形概要

更新日期:2020-04-01
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