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arXiv 2102.00318physics.atom-phastro-ph.SRphysics.plasm-ph
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包含等离子体密度效应的简单电子碰撞激发截面

Simple electron-impact excitation cross-sections including plasma density effects

Jean-Christophe Pain, Djamel Benredjem

AI总结:

本文提出基于屏蔽氢模型和平面波玻恩近似的电子碰撞激发截面解析计算方法,引入多种低能修正因子并考虑库仑屏蔽与量子简并等密度效应,实现无需数值积分即可准确计算EIE速率。

摘要:

非局域热力学平衡等离子体的建模对于高能量密度物理的许多方面至关重要。它通常需要将碰撞辐射模型与辐射流体力学模拟相耦合。因此,迫切需要尽可能快速且准确地计算不同碰撞和辐射过程的截面与速率。我们提出了一种在平面波玻恩(PWB)近似下计算电子碰撞激发(EIE)截面的解析方法。该形式体系依赖于屏蔽氢模型。EIE截面以包含球贝塞尔函数的积分形式表示,这些积分可以解析计算。为了弥补PWB近似在低能(近阈值)下不正确的问题,我们考虑了不同的修正因子(Elwert-Sommerfeld、Cowan-Robb、Kilcrease-Brookes)。我们还研究了等离子体密度效应(如库仑屏蔽和量子简并)对EIE速率的影响。这需要对乘以费米-狄拉克分布和泡利阻塞因子的碰撞强度进行积分。我们表明,利用碰撞辐射模型中常用的解析拟合,可以在不进行任何数值积分的情况下准确计算EIE速率,并将我们的表达式与近期工作中提出的修正因子进行了比较。

英文摘要:

The modeling of non-local-thermodynamic-equilibrium plasmas is crucial for many aspects of high-energy-density physics. It often requires collisional-radiative models coupled with radiative-hydrodynamics simulations. Therefore, there is a strong need for fast and as accurate as possible calculations of the cross-sections and rates of the different collisional and radiative processes. We present an analytical approach for the computation of the electron-impact excitation (EIE) cross-sections in the Plane Wave Born (PWB) approximation. The formalism relies on the screened hydrogenic model. The EIE cross-section is expressed in terms of integrals, involving spherical Bessel functions, which can be calculated analytically. In order to remedy the fact that the PWB approximation is not correct at low energy (near threshold), we consider different correcting factors (Elwert-Sommerfeld, Cowan-Robb, Kilcrease-Brookes). We also investigate the role of plasma density effects such as Coulomb screening and quantum degeneracy on the EIE rate. This requires to integrate the collision strength multiplied by the Fermi-Dirac distribution and the Pauli blocking factor. We show that, using an analytical fit often used in collisional-radiative models, the EIE rate can be calculated accurately without any numerical integration, and compare our expression with a correction factor presented in a recent work.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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