论文标题
评估相对论等离子体中三重相互作用的碰撞积分的数值方案
Numerical scheme for evaluating the collision integrals for triple interactions in relativistic plasma
论文作者
论文摘要
相对论血浆中的二进制相互作用,例如库仑和康普顿散射以及成对的创造和an灭,并在细节上进行了众所周知和研究。三重相互作用,即相对论的布雷姆斯特隆,双康普顿散射,辐射对产生,三重对生产/歼灭及其反向过程,通常被视为天体物理问题中的发射过程以及实验室等离子体中的发射过程。它们在血浆动力学中的作用是基本的[1]。我们提出了一种新的保守方案,用于计算Uehling-uhlenbeck碰撞积分,用于基于精确QED矩阵元素的直接集成相对论等离子体中的所有三重相互作用。在可能的情况下,将热分布的反应速率与相应的分析表达式进行了比较,显示出良好的一致性。我们的结果与天体物理和实验室条件下的平衡相对论等离子体的定量描述有关。
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.