论文标题
在粒子模拟中加载相对论的kappa分布
Loading a relativistic kappa distribution in particle simulations
论文作者
论文摘要
提出了一种从相对论的kappa分布（PIC）和蒙特卡洛模拟中加载粒子速度的程序。它基于拒绝方法和beta素数分布。拒绝部分扩展了Maxwell-Juttner分布的早期方法，然后接受率达到约95％。利用广义的beta质量分布，我们成功地重现了包括幂律尾巴在内的相对论kappa分布。提出了程序的推导，数学准备，与其他程序的比较以及数值测试。
A procedure for loading particle velocities from a relativistic kappa distribution in particle-in-cell (PIC) and Monte Carlo simulations is presented. It is based on the rejection method and the beta prime distribution. The rejection part extends earlier method for the Maxwell-Juttner distribution, and then the acceptance rate reaches ~95%. Utilizing the generalized beta prime distributions, we successfully reproduce the relativistic kappa distribution, including the power-law tail. The derivation of the procedure, mathematical preparations, comparison with other procedures, and numerical tests are presented.
