处理相对论等离子体中两粒子相互作用Uehling-Uhlenbeck方程的数值格式
Numerical scheme for treatment of Uehling-Uhlenbeck equation for two-particle interactions in relativistic plasma
摘要：
本文提出了一种新的计算相对论等离子体中所有两粒子相互作用的Uehling-Uhlenbeck碰撞积分的有效方法，与现有方法相比，大大缩短了计算时间。假设等离子体在动量空间中是各向同性的。这组反应包括：Moeller和Bhabha散射，康普顿散射，双光子对湮灭和双光子对产生，这些都由QED矩阵元描述。在我们的方法中，精确的能量和粒子数守恒定律得到满足。反应速率进行了比较，在可能的情况下，与相应的解析表达式和收敛的数值速率证明。
英文摘要：
We present a new efficient method to compute Uehling-Uhlenbeck collision integral for all two-particle interactions in relativistic plasma with drastic improvement in computation time with respect to existing methods. Plasma is assumed isotropic in momentum space. The set of reactions consists of: Moeller and Bhabha scattering, Compton scattering, two-photon pair annihilation, and two-photon pair production, which are described by QED matrix elements. In our method exact energy and particle number conservation laws are satisfied. Reaction rates are compared, where possible, with the corresponding analytical expressions and convergence of numerical rates is demonstrated.
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