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arXiv · 2210.15118

Loading a relativistic kappa distribution in particle simulations

Seiji Zenitani·Shin'ya Nakano
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Abstract

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.

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Seiji Zenitani, Shin'ya Nakano. 2022-10-27. Loading a relativistic kappa distribution in particle simulations. https://doi.org/10.1063/5.0117628

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