Numerical scheme for evaluating the collision integrals for triple interactions in relativistic plasma

M. Prakapenia, I. Siutsou, G. Vereshchagin
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引用次数: 2

Abstract

Binary interactions in relativistic plasma, such as Coulomb and Compton scattering as well as pair creation and annihilation are well known and studied in details. Triple interactions, namely relativistic bremsstrahlung, double Compton scattering, radiative pair production, triple pair production/annihilation and their inverse processes, are usually considered as emission processes in astrophysical problems, as well as in laboratory plasmas. Their role in plasma kinetics is fundamental [1]. We present a new conservative scheme for computation of Uehling-Uhlenbeck collision integral for all triple interactions in relativistic plasma based on direct integration of exact QED matrix elements. Reaction rates for thermal distributions are compared, where possible, with the corresponding analytic expressions, showing good agreement. Our results are relevant for quantitative description of relativistic plasmas out of equilibrium, both in astrophysical and laboratory conditions.
计算相对论等离子体中三重相互作用碰撞积分的数值格式
相对论等离子体中的二元相互作用,如库仑散射和康普顿散射,以及对产生和湮灭都是众所周知的,并进行了详细的研究。三重相互作用,即相对论轫致辐射、双康普顿散射、辐射对产生、三对产生/湮灭及其逆过程,通常被认为是天体物理问题和实验室等离子体中的发射过程。它们在等离子体动力学中的作用是基础性的。基于精确QED矩阵元素的直接积分,给出了计算相对论等离子体中所有三重相互作用的Uehling-Uhlenbeck碰撞积分的一种新的保守格式。在可能的情况下,将热分布的反应速率与相应的解析表达式进行比较,结果一致。我们的结果与天体物理和实验室条件下相对论性等离子体失去平衡的定量描述有关。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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